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Finding the Fourth Proportional to 6,337.77, 9,503.40 and 3,705.85

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Solution

The fourth proportional to 6,337.77, 9,503.40 and 3,705.85 is: 5,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.77 : 9,503.40 = 3,705.85 : x
  2. Step 2: Convert to fraction form
    6,337.77/9,503.40 = 3,705.85/x
  3. Step 3: Cross multiply
    6,337.77x = 9,503.40 × 3,705.85
  4. Step 4: Simplify right side
    6,337.77x = 35,218,174.89
  5. Step 5: Solve for x
    x = 35,218,174.89/6,337.77
  6. Step 6: Final answer
    x = 5,556.87

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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.