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Finding the Fourth Proportional to 6,981.87, 9,616.26 and 6,456.36

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Solution

The fourth proportional to 6,981.87, 9,616.26 and 6,456.36 is: 8,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.87 : 9,616.26 = 6,456.36 : x
  2. Step 2: Convert to fraction form
    6,981.87/9,616.26 = 6,456.36/x
  3. Step 3: Cross multiply
    6,981.87x = 9,616.26 × 6,456.36
  4. Step 4: Simplify right side
    6,981.87x = 62,086,036.41
  5. Step 5: Solve for x
    x = 62,086,036.41/6,981.87
  6. Step 6: Final answer
    x = 8,892.47

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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.