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Finding the Fourth Proportional to 8,498.94, 12,731.49 and 6,641.37

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Solution

The fourth proportional to 8,498.94, 12,731.49 and 6,641.37 is: 9,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.94 : 12,731.49 = 6,641.37 : x
  2. Step 2: Convert to fraction form
    8,498.94/12,731.49 = 6,641.37/x
  3. Step 3: Cross multiply
    8,498.94x = 12,731.49 × 6,641.37
  4. Step 4: Simplify right side
    8,498.94x = 84,554,535.74
  5. Step 5: Solve for x
    x = 84,554,535.74/8,498.94
  6. Step 6: Final answer
    x = 9,948.83

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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.