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Finding the Fourth Proportional to 6,564.62, 9,060.05 and 4,174.83

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Solution

The fourth proportional to 6,564.62, 9,060.05 and 4,174.83 is: 5,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.62 : 9,060.05 = 4,174.83 : x
  2. Step 2: Convert to fraction form
    6,564.62/9,060.05 = 4,174.83/x
  3. Step 3: Cross multiply
    6,564.62x = 9,060.05 × 4,174.83
  4. Step 4: Simplify right side
    6,564.62x = 37,824,123.24
  5. Step 5: Solve for x
    x = 37,824,123.24/6,564.62
  6. Step 6: Final answer
    x = 5,761.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.