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Finding the Fourth Proportional to 9,921.68, 14,882.16 and 2,996

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Solution

The fourth proportional to 9,921.68, 14,882.16 and 2,996 is: 4,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.68 : 14,882.16 = 2,996 : x
  2. Step 2: Convert to fraction form
    9,921.68/14,882.16 = 2,996/x
  3. Step 3: Cross multiply
    9,921.68x = 14,882.16 × 2,996
  4. Step 4: Simplify right side
    9,921.68x = 44,586,951.36
  5. Step 5: Solve for x
    x = 44,586,951.36/9,921.68
  6. Step 6: Final answer
    x = 4,493.89

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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.