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Finding the Fourth Proportional to 9,902.42, 14,854.58 and 2,882.49

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Solution

The fourth proportional to 9,902.42, 14,854.58 and 2,882.49 is: 4,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.42 : 14,854.58 = 2,882.49 : x
  2. Step 2: Convert to fraction form
    9,902.42/14,854.58 = 2,882.49/x
  3. Step 3: Cross multiply
    9,902.42x = 14,854.58 × 2,882.49
  4. Step 4: Simplify right side
    9,902.42x = 42,818,178.30
  5. Step 5: Solve for x
    x = 42,818,178.30/9,902.42
  6. Step 6: Final answer
    x = 4,324.01

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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.