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Finding the Fourth Proportional to 9,966.67, 13,753.82 and 5,490.83

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Solution

The fourth proportional to 9,966.67, 13,753.82 and 5,490.83 is: 7,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.67 : 13,753.82 = 5,490.83 : x
  2. Step 2: Convert to fraction form
    9,966.67/13,753.82 = 5,490.83/x
  3. Step 3: Cross multiply
    9,966.67x = 13,753.82 × 5,490.83
  4. Step 4: Simplify right side
    9,966.67x = 75,519,904.70
  5. Step 5: Solve for x
    x = 75,519,904.70/9,966.67
  6. Step 6: Final answer
    x = 7,577.25

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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.