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Finding the Fourth Proportional to 9,042.30, 12,478.22 and 5,063.40

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Solution

The fourth proportional to 9,042.30, 12,478.22 and 5,063.40 is: 6,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.30 : 12,478.22 = 5,063.40 : x
  2. Step 2: Convert to fraction form
    9,042.30/12,478.22 = 5,063.40/x
  3. Step 3: Cross multiply
    9,042.30x = 12,478.22 × 5,063.40
  4. Step 4: Simplify right side
    9,042.30x = 63,182,219.15
  5. Step 5: Solve for x
    x = 63,182,219.15/9,042.30
  6. Step 6: Final answer
    x = 6,987.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.