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Finding the Fourth Proportional to 6,104.70, 9,135.15 and 5,285.78

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Solution

The fourth proportional to 6,104.70, 9,135.15 and 5,285.78 is: 7,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.70 : 9,135.15 = 5,285.78 : x
  2. Step 2: Convert to fraction form
    6,104.70/9,135.15 = 5,285.78/x
  3. Step 3: Cross multiply
    6,104.70x = 9,135.15 × 5,285.78
  4. Step 4: Simplify right side
    6,104.70x = 48,286,393.17
  5. Step 5: Solve for x
    x = 48,286,393.17/6,104.70
  6. Step 6: Final answer
    x = 7,909.71

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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.