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Finding the Fourth Proportional to 9,709,672.80, 14,564,509.20 and 4,932,098.40

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Solution

The fourth proportional to 9,709,672.80, 14,564,509.20 and 4,932,098.40 is: 7,398,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709,672.80 : 14,564,509.20 = 4,932,098.40 : x
  2. Step 2: Convert to fraction form
    9,709,672.80/14,564,509.20 = 4,932,098.40/x
  3. Step 3: Cross multiply
    9,709,672.80x = 14,564,509.20 × 4,932,098.40
  4. Step 4: Simplify right side
    9,709,672.80x = 71,833,592,522,105.28
  5. Step 5: Solve for x
    x = 71,833,592,522,105.28/9,709,672.80
  6. Step 6: Final answer
    x = 7,398,147.60

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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.