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Finding the Fourth Proportional to 9,581.46, 14,377.74 and 4,034.34

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Solution

The fourth proportional to 9,581.46, 14,377.74 and 4,034.34 is: 6,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.46 : 14,377.74 = 4,034.34 : x
  2. Step 2: Convert to fraction form
    9,581.46/14,377.74 = 4,034.34/x
  3. Step 3: Cross multiply
    9,581.46x = 14,377.74 × 4,034.34
  4. Step 4: Simplify right side
    9,581.46x = 58,004,691.59
  5. Step 5: Solve for x
    x = 58,004,691.59/9,581.46
  6. Step 6: Final answer
    x = 6,053.85

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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.