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Finding the Fourth Proportional to 9,966.93, 13,753.71 and 5,490.33

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Solution

The fourth proportional to 9,966.93, 13,753.71 and 5,490.33 is: 7,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.93 : 13,753.71 = 5,490.33 : x
  2. Step 2: Convert to fraction form
    9,966.93/13,753.71 = 5,490.33/x
  3. Step 3: Cross multiply
    9,966.93x = 13,753.71 × 5,490.33
  4. Step 4: Simplify right side
    9,966.93x = 75,512,406.62
  5. Step 5: Solve for x
    x = 75,512,406.62/9,966.93
  6. Step 6: Final answer
    x = 7,576.30

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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.