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Finding the Fourth Proportional to 6,690.46, 9,232.80 and 3,706.24

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Solution

The fourth proportional to 6,690.46, 9,232.80 and 3,706.24 is: 5,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.46 : 9,232.80 = 3,706.24 : x
  2. Step 2: Convert to fraction form
    6,690.46/9,232.80 = 3,706.24/x
  3. Step 3: Cross multiply
    6,690.46x = 9,232.80 × 3,706.24
  4. Step 4: Simplify right side
    6,690.46x = 34,218,972.67
  5. Step 5: Solve for x
    x = 34,218,972.67/6,690.46
  6. Step 6: Final answer
    x = 5,114.59

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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.