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Finding the Fourth Proportional to 9,612.71, 13,265.57 and 5,363.95

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Solution

The fourth proportional to 9,612.71, 13,265.57 and 5,363.95 is: 7,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.71 : 13,265.57 = 5,363.95 : x
  2. Step 2: Convert to fraction form
    9,612.71/13,265.57 = 5,363.95/x
  3. Step 3: Cross multiply
    9,612.71x = 13,265.57 × 5,363.95
  4. Step 4: Simplify right side
    9,612.71x = 71,155,834.45
  5. Step 5: Solve for x
    x = 71,155,834.45/9,612.71
  6. Step 6: Final answer
    x = 7,402.27

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