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Finding the Fourth Proportional to 6,337.61, 9,503.30 and 3,705.78

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Solution

The fourth proportional to 6,337.61, 9,503.30 and 3,705.78 is: 5,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.61 : 9,503.30 = 3,705.78 : x
  2. Step 2: Convert to fraction form
    6,337.61/9,503.30 = 3,705.78/x
  3. Step 3: Cross multiply
    6,337.61x = 9,503.30 × 3,705.78
  4. Step 4: Simplify right side
    6,337.61x = 35,217,139.07
  5. Step 5: Solve for x
    x = 35,217,139.07/6,337.61
  6. Step 6: Final answer
    x = 5,556.85

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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.