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Finding the Fourth Proportional to 9,191.30, 12,681.78 and 5,414.16

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Solution

The fourth proportional to 9,191.30, 12,681.78 and 5,414.16 is: 7,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.30 : 12,681.78 = 5,414.16 : x
  2. Step 2: Convert to fraction form
    9,191.30/12,681.78 = 5,414.16/x
  3. Step 3: Cross multiply
    9,191.30x = 12,681.78 × 5,414.16
  4. Step 4: Simplify right side
    9,191.30x = 68,661,213.26
  5. Step 5: Solve for x
    x = 68,661,213.26/9,191.30
  6. Step 6: Final answer
    x = 7,470.24

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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.