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Finding the Fourth Proportional to 9,902.12, 14,850.96 and 2,882.12

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Solution

The fourth proportional to 9,902.12, 14,850.96 and 2,882.12 is: 4,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.12 : 14,850.96 = 2,882.12 : x
  2. Step 2: Convert to fraction form
    9,902.12/14,850.96 = 2,882.12/x
  3. Step 3: Cross multiply
    9,902.12x = 14,850.96 × 2,882.12
  4. Step 4: Simplify right side
    9,902.12x = 42,802,248.84
  5. Step 5: Solve for x
    x = 42,802,248.84/9,902.12
  6. Step 6: Final answer
    x = 4,322.53

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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.