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Finding the Fourth Proportional to 9,663.31, 14,490.46 and 5,661.90

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Solution

The fourth proportional to 9,663.31, 14,490.46 and 5,661.90 is: 8,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.31 : 14,490.46 = 5,661.90 : x
  2. Step 2: Convert to fraction form
    9,663.31/14,490.46 = 5,661.90/x
  3. Step 3: Cross multiply
    9,663.31x = 14,490.46 × 5,661.90
  4. Step 4: Simplify right side
    9,663.31x = 82,043,463.02
  5. Step 5: Solve for x
    x = 82,043,463.02/9,663.31
  6. Step 6: Final answer
    x = 8,490.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.