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Finding the Fourth Proportional to 9,882.46, 14,823.69 and 2,862.87

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Solution

The fourth proportional to 9,882.46, 14,823.69 and 2,862.87 is: 4,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.46 : 14,823.69 = 2,862.87 : x
  2. Step 2: Convert to fraction form
    9,882.46/14,823.69 = 2,862.87/x
  3. Step 3: Cross multiply
    9,882.46x = 14,823.69 × 2,862.87
  4. Step 4: Simplify right side
    9,882.46x = 42,438,297.39
  5. Step 5: Solve for x
    x = 42,438,297.39/9,882.46
  6. Step 6: Final answer
    x = 4,294.31

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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.