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Finding the Fourth Proportional to 6,089.49, 9,134.57 and 2,972.16

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Solution

The fourth proportional to 6,089.49, 9,134.57 and 2,972.16 is: 4,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.49 : 9,134.57 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    6,089.49/9,134.57 = 2,972.16/x
  3. Step 3: Cross multiply
    6,089.49x = 9,134.57 × 2,972.16
  4. Step 4: Simplify right side
    6,089.49x = 27,149,411.00
  5. Step 5: Solve for x
    x = 27,149,411.00/6,089.49
  6. Step 6: Final answer
    x = 4,458.40

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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.