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Finding the Fourth Proportional to 6,429.66, 9,645.15 and 2,732.25

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Solution

The fourth proportional to 6,429.66, 9,645.15 and 2,732.25 is: 4,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.66 : 9,645.15 = 2,732.25 : x
  2. Step 2: Convert to fraction form
    6,429.66/9,645.15 = 2,732.25/x
  3. Step 3: Cross multiply
    6,429.66x = 9,645.15 × 2,732.25
  4. Step 4: Simplify right side
    6,429.66x = 26,352,961.09
  5. Step 5: Solve for x
    x = 26,352,961.09/6,429.66
  6. Step 6: Final answer
    x = 4,098.66

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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.