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Finding the Fourth Proportional to 9,866.13, 13,618.31 and 6,882.99

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Solution

The fourth proportional to 9,866.13, 13,618.31 and 6,882.99 is: 9,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.13 : 13,618.31 = 6,882.99 : x
  2. Step 2: Convert to fraction form
    9,866.13/13,618.31 = 6,882.99/x
  3. Step 3: Cross multiply
    9,866.13x = 13,618.31 × 6,882.99
  4. Step 4: Simplify right side
    9,866.13x = 93,734,657.13
  5. Step 5: Solve for x
    x = 93,734,657.13/9,866.13
  6. Step 6: Final answer
    x = 9,500.65

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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.