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Finding the Fourth Proportional to 9,966.33, 13,753.62 and 5,490.24

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Solution

The fourth proportional to 9,966.33, 13,753.62 and 5,490.24 is: 7,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.33 : 13,753.62 = 5,490.24 : x
  2. Step 2: Convert to fraction form
    9,966.33/13,753.62 = 5,490.24/x
  3. Step 3: Cross multiply
    9,966.33x = 13,753.62 × 5,490.24
  4. Step 4: Simplify right side
    9,966.33x = 75,510,605.90
  5. Step 5: Solve for x
    x = 75,510,605.90/9,966.33
  6. Step 6: Final answer
    x = 7,576.57

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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.