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Finding the Fourth Proportional to 6,335.80, 9,503.70 and 5,105.62

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Solution

The fourth proportional to 6,335.80, 9,503.70 and 5,105.62 is: 7,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.80 : 9,503.70 = 5,105.62 : x
  2. Step 2: Convert to fraction form
    6,335.80/9,503.70 = 5,105.62/x
  3. Step 3: Cross multiply
    6,335.80x = 9,503.70 × 5,105.62
  4. Step 4: Simplify right side
    6,335.80x = 48,522,280.79
  5. Step 5: Solve for x
    x = 48,522,280.79/6,335.80
  6. Step 6: Final answer
    x = 7,658.43

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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.