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Finding the Fourth Proportional to 9,193.59, 12,685.15 and 5,414.13

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Solution

The fourth proportional to 9,193.59, 12,685.15 and 5,414.13 is: 7,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.59 : 12,685.15 = 5,414.13 : x
  2. Step 2: Convert to fraction form
    9,193.59/12,685.15 = 5,414.13/x
  3. Step 3: Cross multiply
    9,193.59x = 12,685.15 × 5,414.13
  4. Step 4: Simplify right side
    9,193.59x = 68,679,051.17
  5. Step 5: Solve for x
    x = 68,679,051.17/9,193.59
  6. Step 6: Final answer
    x = 7,470.32

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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.