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Finding the Fourth Proportional to 9,581.13, 14,375.48 and 6,293.61

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Solution

The fourth proportional to 9,581.13, 14,375.48 and 6,293.61 is: 9,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.13 : 14,375.48 = 6,293.61 : x
  2. Step 2: Convert to fraction form
    9,581.13/14,375.48 = 6,293.61/x
  3. Step 3: Cross multiply
    9,581.13x = 14,375.48 × 6,293.61
  4. Step 4: Simplify right side
    9,581.13x = 90,473,633.21
  5. Step 5: Solve for x
    x = 90,473,633.21/9,581.13
  6. Step 6: Final answer
    x = 9,442.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.