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Finding the Fourth Proportional to 6,893.73, 9,508.14 and 4,471.65

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Solution

The fourth proportional to 6,893.73, 9,508.14 and 4,471.65 is: 6,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.73 : 9,508.14 = 4,471.65 : x
  2. Step 2: Convert to fraction form
    6,893.73/9,508.14 = 4,471.65/x
  3. Step 3: Cross multiply
    6,893.73x = 9,508.14 × 4,471.65
  4. Step 4: Simplify right side
    6,893.73x = 42,517,074.23
  5. Step 5: Solve for x
    x = 42,517,074.23/6,893.73
  6. Step 6: Final answer
    x = 6,167.50

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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.