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Finding the Fourth Proportional to 6,089.39, 9,132.87 and 1,928.69

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Solution

The fourth proportional to 6,089.39, 9,132.87 and 1,928.69 is: 2,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.39 : 9,132.87 = 1,928.69 : x
  2. Step 2: Convert to fraction form
    6,089.39/9,132.87 = 1,928.69/x
  3. Step 3: Cross multiply
    6,089.39x = 9,132.87 × 1,928.69
  4. Step 4: Simplify right side
    6,089.39x = 17,614,475.04
  5. Step 5: Solve for x
    x = 17,614,475.04/6,089.39
  6. Step 6: Final answer
    x = 2,892.65

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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.