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Finding the Fourth Proportional to 9,312.69, 13,966.30 and 2,737.31

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Solution

The fourth proportional to 9,312.69, 13,966.30 and 2,737.31 is: 4,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.69 : 13,966.30 = 2,737.31 : x
  2. Step 2: Convert to fraction form
    9,312.69/13,966.30 = 2,737.31/x
  3. Step 3: Cross multiply
    9,312.69x = 13,966.30 × 2,737.31
  4. Step 4: Simplify right side
    9,312.69x = 38,230,078.97
  5. Step 5: Solve for x
    x = 38,230,078.97/9,312.69
  6. Step 6: Final answer
    x = 4,105.16

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