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Finding the Fourth Proportional to 6,139.70, 9,209.55 and 5,702.30

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Solution

The fourth proportional to 6,139.70, 9,209.55 and 5,702.30 is: 8,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.70 : 9,209.55 = 5,702.30 : x
  2. Step 2: Convert to fraction form
    6,139.70/9,209.55 = 5,702.30/x
  3. Step 3: Cross multiply
    6,139.70x = 9,209.55 × 5,702.30
  4. Step 4: Simplify right side
    6,139.70x = 52,515,616.97
  5. Step 5: Solve for x
    x = 52,515,616.97/6,139.70
  6. Step 6: Final answer
    x = 8,553.45

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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.