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Finding the Fourth Proportional to 9,882.45, 14,822.87 and 2,862.18

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Solution

The fourth proportional to 9,882.45, 14,822.87 and 2,862.18 is: 4,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.45 : 14,822.87 = 2,862.18 : x
  2. Step 2: Convert to fraction form
    9,882.45/14,822.87 = 2,862.18/x
  3. Step 3: Cross multiply
    9,882.45x = 14,822.87 × 2,862.18
  4. Step 4: Simplify right side
    9,882.45x = 42,425,707.75
  5. Step 5: Solve for x
    x = 42,425,707.75/9,882.45
  6. Step 6: Final answer
    x = 4,293.04

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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.