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Finding the Fourth Proportional to 6,690.42, 9,232.86 and 3,706.31

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Solution

The fourth proportional to 6,690.42, 9,232.86 and 3,706.31 is: 5,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.42 : 9,232.86 = 3,706.31 : x
  2. Step 2: Convert to fraction form
    6,690.42/9,232.86 = 3,706.31/x
  3. Step 3: Cross multiply
    6,690.42x = 9,232.86 × 3,706.31
  4. Step 4: Simplify right side
    6,690.42x = 34,219,815.97
  5. Step 5: Solve for x
    x = 34,219,815.97/6,690.42
  6. Step 6: Final answer
    x = 5,114.75

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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.