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Finding the Fourth Proportional to 6,695.96, 9,240.42 and 3,711.83

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Solution

The fourth proportional to 6,695.96, 9,240.42 and 3,711.83 is: 5,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.96 : 9,240.42 = 3,711.83 : x
  2. Step 2: Convert to fraction form
    6,695.96/9,240.42 = 3,711.83/x
  3. Step 3: Cross multiply
    6,695.96x = 9,240.42 × 3,711.83
  4. Step 4: Simplify right side
    6,695.96x = 34,298,835.89
  5. Step 5: Solve for x
    x = 34,298,835.89/6,695.96
  6. Step 6: Final answer
    x = 5,122.32

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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.