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Finding the Fourth Proportional to 9,773,302.40, 14,691,446.40 and 6,952,947.20

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Solution

The fourth proportional to 9,773,302.40, 14,691,446.40 and 6,952,947.20 is: 10,451,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773,302.40 : 14,691,446.40 = 6,952,947.20 : x
  2. Step 2: Convert to fraction form
    9,773,302.40/14,691,446.40 = 6,952,947.20/x
  3. Step 3: Cross multiply
    9,773,302.40x = 14,691,446.40 × 6,952,947.20
  4. Step 4: Simplify right side
    9,773,302.40x = 102,148,851,110,830.08
  5. Step 5: Solve for x
    x = 102,148,851,110,830.08/9,773,302.40
  6. Step 6: Final answer
    x = 10,451,825.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.