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Finding the Fourth Proportional to 9,562.57, 14,339.19 and 2,988.74

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Solution

The fourth proportional to 9,562.57, 14,339.19 and 2,988.74 is: 4,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.57 : 14,339.19 = 2,988.74 : x
  2. Step 2: Convert to fraction form
    9,562.57/14,339.19 = 2,988.74/x
  3. Step 3: Cross multiply
    9,562.57x = 14,339.19 × 2,988.74
  4. Step 4: Simplify right side
    9,562.57x = 42,856,110.72
  5. Step 5: Solve for x
    x = 42,856,110.72/9,562.57
  6. Step 6: Final answer
    x = 4,481.65

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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.