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Finding the Fourth Proportional to 6,431.91, 8,869.52 and 3,911.57

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Solution

The fourth proportional to 6,431.91, 8,869.52 and 3,911.57 is: 5,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.91 : 8,869.52 = 3,911.57 : x
  2. Step 2: Convert to fraction form
    6,431.91/8,869.52 = 3,911.57/x
  3. Step 3: Cross multiply
    6,431.91x = 8,869.52 × 3,911.57
  4. Step 4: Simplify right side
    6,431.91x = 34,693,713.78
  5. Step 5: Solve for x
    x = 34,693,713.78/6,431.91
  6. Step 6: Final answer
    x = 5,394.00

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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.