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Finding the Fourth Proportional to 9,581.68, 14,374.14 and 7,244.83

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Solution

The fourth proportional to 9,581.68, 14,374.14 and 7,244.83 is: 10,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.68 : 14,374.14 = 7,244.83 : x
  2. Step 2: Convert to fraction form
    9,581.68/14,374.14 = 7,244.83/x
  3. Step 3: Cross multiply
    9,581.68x = 14,374.14 × 7,244.83
  4. Step 4: Simplify right side
    9,581.68x = 104,138,200.70
  5. Step 5: Solve for x
    x = 104,138,200.70/9,581.68
  6. Step 6: Final answer
    x = 10,868.47

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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.