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Finding the Fourth Proportional to 6,429.32, 9,641.98 and 2,917.16

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Solution

The fourth proportional to 6,429.32, 9,641.98 and 2,917.16 is: 4,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.32 : 9,641.98 = 2,917.16 : x
  2. Step 2: Convert to fraction form
    6,429.32/9,641.98 = 2,917.16/x
  3. Step 3: Cross multiply
    6,429.32x = 9,641.98 × 2,917.16
  4. Step 4: Simplify right side
    6,429.32x = 28,127,198.38
  5. Step 5: Solve for x
    x = 28,127,198.38/6,429.32
  6. Step 6: Final answer
    x = 4,374.83

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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.