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Finding the Fourth Proportional to 9,034.61, 13,551.93 and 5,934.20

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Solution

The fourth proportional to 9,034.61, 13,551.93 and 5,934.20 is: 8,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.61 : 13,551.93 = 5,934.20 : x
  2. Step 2: Convert to fraction form
    9,034.61/13,551.93 = 5,934.20/x
  3. Step 3: Cross multiply
    9,034.61x = 13,551.93 × 5,934.20
  4. Step 4: Simplify right side
    9,034.61x = 80,419,863.01
  5. Step 5: Solve for x
    x = 80,419,863.01/9,034.61
  6. Step 6: Final answer
    x = 8,901.31

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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.