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Finding the Fourth Proportional to 9,882.10, 14,823.15 and 4,042.90

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Solution

The fourth proportional to 9,882.10, 14,823.15 and 4,042.90 is: 6,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.10 : 14,823.15 = 4,042.90 : x
  2. Step 2: Convert to fraction form
    9,882.10/14,823.15 = 4,042.90/x
  3. Step 3: Cross multiply
    9,882.10x = 14,823.15 × 4,042.90
  4. Step 4: Simplify right side
    9,882.10x = 59,928,513.14
  5. Step 5: Solve for x
    x = 59,928,513.14/9,882.10
  6. Step 6: Final answer
    x = 6,064.35

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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.