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Finding the Fourth Proportional to 6,087.52, 9,134.99 and 4,214.91

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Solution

The fourth proportional to 6,087.52, 9,134.99 and 4,214.91 is: 6,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.52 : 9,134.99 = 4,214.91 : x
  2. Step 2: Convert to fraction form
    6,087.52/9,134.99 = 4,214.91/x
  3. Step 3: Cross multiply
    6,087.52x = 9,134.99 × 4,214.91
  4. Step 4: Simplify right side
    6,087.52x = 38,503,160.70
  5. Step 5: Solve for x
    x = 38,503,160.70/6,087.52
  6. Step 6: Final answer
    x = 6,324.93

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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.