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Finding the Fourth Proportional to 9,966.54, 13,753.86 and 5,490.60

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Solution

The fourth proportional to 9,966.54, 13,753.86 and 5,490.60 is: 7,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.54 : 13,753.86 = 5,490.60 : x
  2. Step 2: Convert to fraction form
    9,966.54/13,753.86 = 5,490.60/x
  3. Step 3: Cross multiply
    9,966.54x = 13,753.86 × 5,490.60
  4. Step 4: Simplify right side
    9,966.54x = 75,516,943.72
  5. Step 5: Solve for x
    x = 75,516,943.72/9,966.54
  6. Step 6: Final answer
    x = 7,577.05

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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.