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Finding the Fourth Proportional to 9,411.20, 14,107.20 and 5,513.60

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Solution

The fourth proportional to 9,411.20, 14,107.20 and 5,513.60 is: 8,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.20 : 14,107.20 = 5,513.60 : x
  2. Step 2: Convert to fraction form
    9,411.20/14,107.20 = 5,513.60/x
  3. Step 3: Cross multiply
    9,411.20x = 14,107.20 × 5,513.60
  4. Step 4: Simplify right side
    9,411.20x = 77,781,457.92
  5. Step 5: Solve for x
    x = 77,781,457.92/9,411.20
  6. Step 6: Final answer
    x = 8,264.78

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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.