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Finding the Fourth Proportional to 6,759.31, 9,260.10 and 6,506.62

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Solution

The fourth proportional to 6,759.31, 9,260.10 and 6,506.62 is: 8,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.31 : 9,260.10 = 6,506.62 : x
  2. Step 2: Convert to fraction form
    6,759.31/9,260.10 = 6,506.62/x
  3. Step 3: Cross multiply
    6,759.31x = 9,260.10 × 6,506.62
  4. Step 4: Simplify right side
    6,759.31x = 60,251,953.11
  5. Step 5: Solve for x
    x = 60,251,953.11/6,759.31
  6. Step 6: Final answer
    x = 8,913.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.