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Finding the Fourth Proportional to 9,897.49, 14,844.60 and 3,660.43

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Solution

The fourth proportional to 9,897.49, 14,844.60 and 3,660.43 is: 5,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.49 : 14,844.60 = 3,660.43 : x
  2. Step 2: Convert to fraction form
    9,897.49/14,844.60 = 3,660.43/x
  3. Step 3: Cross multiply
    9,897.49x = 14,844.60 × 3,660.43
  4. Step 4: Simplify right side
    9,897.49x = 54,337,619.18
  5. Step 5: Solve for x
    x = 54,337,619.18/9,897.49
  6. Step 6: Final answer
    x = 5,490.04

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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.