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Finding the Fourth Proportional to 9,966.15, 13,752.51 and 5,489.28

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Solution

The fourth proportional to 9,966.15, 13,752.51 and 5,489.28 is: 7,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.15 : 13,752.51 = 5,489.28 : x
  2. Step 2: Convert to fraction form
    9,966.15/13,752.51 = 5,489.28/x
  3. Step 3: Cross multiply
    9,966.15x = 13,752.51 × 5,489.28
  4. Step 4: Simplify right side
    9,966.15x = 75,491,378.09
  5. Step 5: Solve for x
    x = 75,491,378.09/9,966.15
  6. Step 6: Final answer
    x = 7,574.78

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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.