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Finding the Fourth Proportional to 9,512.85, 14,272.14 and 2,849.57

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Solution

The fourth proportional to 9,512.85, 14,272.14 and 2,849.57 is: 4,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.85 : 14,272.14 = 2,849.57 : x
  2. Step 2: Convert to fraction form
    9,512.85/14,272.14 = 2,849.57/x
  3. Step 3: Cross multiply
    9,512.85x = 14,272.14 × 2,849.57
  4. Step 4: Simplify right side
    9,512.85x = 40,669,390.62
  5. Step 5: Solve for x
    x = 40,669,390.62/9,512.85
  6. Step 6: Final answer
    x = 4,275.21

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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.