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Finding the Fourth Proportional to 6,906.54, 9,532.31 and 6,484.53

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Solution

The fourth proportional to 6,906.54, 9,532.31 and 6,484.53 is: 8,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.54 : 9,532.31 = 6,484.53 : x
  2. Step 2: Convert to fraction form
    6,906.54/9,532.31 = 6,484.53/x
  3. Step 3: Cross multiply
    6,906.54x = 9,532.31 × 6,484.53
  4. Step 4: Simplify right side
    6,906.54x = 61,812,517.74
  5. Step 5: Solve for x
    x = 61,812,517.74/6,906.54
  6. Step 6: Final answer
    x = 8,949.85

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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.