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Finding the Fourth Proportional to 6,691.24, 9,233.16 and 3,706.66

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Solution

The fourth proportional to 6,691.24, 9,233.16 and 3,706.66 is: 5,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.24 : 9,233.16 = 3,706.66 : x
  2. Step 2: Convert to fraction form
    6,691.24/9,233.16 = 3,706.66/x
  3. Step 3: Cross multiply
    6,691.24x = 9,233.16 × 3,706.66
  4. Step 4: Simplify right side
    6,691.24x = 34,224,184.85
  5. Step 5: Solve for x
    x = 34,224,184.85/6,691.24
  6. Step 6: Final answer
    x = 5,114.77

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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.