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Finding the Fourth Proportional to 6,559.92, 9,851.62 and 6,295.66

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Solution

The fourth proportional to 6,559.92, 9,851.62 and 6,295.66 is: 9,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.92 : 9,851.62 = 6,295.66 : x
  2. Step 2: Convert to fraction form
    6,559.92/9,851.62 = 6,295.66/x
  3. Step 3: Cross multiply
    6,559.92x = 9,851.62 × 6,295.66
  4. Step 4: Simplify right side
    6,559.92x = 62,022,449.97
  5. Step 5: Solve for x
    x = 62,022,449.97/6,559.92
  6. Step 6: Final answer
    x = 9,454.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.