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Finding the Fourth Proportional to 9,657,788.80, 14,488,432.80 and 4,853,387.20

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Solution

The fourth proportional to 9,657,788.80, 14,488,432.80 and 4,853,387.20 is: 7,280,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,788.80 : 14,488,432.80 = 4,853,387.20 : x
  2. Step 2: Convert to fraction form
    9,657,788.80/14,488,432.80 = 4,853,387.20/x
  3. Step 3: Cross multiply
    9,657,788.80x = 14,488,432.80 × 4,853,387.20
  4. Step 4: Simplify right side
    9,657,788.80x = 70,317,974,299,580.16
  5. Step 5: Solve for x
    x = 70,317,974,299,580.16/9,657,788.80
  6. Step 6: Final answer
    x = 7,280,960.04

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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.