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Finding the Fourth Proportional to 6,092.70, 9,139.05 and 5,655.30

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Solution

The fourth proportional to 6,092.70, 9,139.05 and 5,655.30 is: 8,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.70 : 9,139.05 = 5,655.30 : x
  2. Step 2: Convert to fraction form
    6,092.70/9,139.05 = 5,655.30/x
  3. Step 3: Cross multiply
    6,092.70x = 9,139.05 × 5,655.30
  4. Step 4: Simplify right side
    6,092.70x = 51,684,069.47
  5. Step 5: Solve for x
    x = 51,684,069.47/6,092.70
  6. Step 6: Final answer
    x = 8,482.95

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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.