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Finding the Fourth Proportional to 9,882.84, 14,823.95 and 2,863.05

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Solution

The fourth proportional to 9,882.84, 14,823.95 and 2,863.05 is: 4,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.84 : 14,823.95 = 2,863.05 : x
  2. Step 2: Convert to fraction form
    9,882.84/14,823.95 = 2,863.05/x
  3. Step 3: Cross multiply
    9,882.84x = 14,823.95 × 2,863.05
  4. Step 4: Simplify right side
    9,882.84x = 42,441,640.14
  5. Step 5: Solve for x
    x = 42,441,640.14/9,882.84
  6. Step 6: Final answer
    x = 4,294.48

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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.