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Finding the Fourth Proportional to 9,124.92, 12,586.59 and 5,981.31

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Solution

The fourth proportional to 9,124.92, 12,586.59 and 5,981.31 is: 8,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.92 : 12,586.59 = 5,981.31 : x
  2. Step 2: Convert to fraction form
    9,124.92/12,586.59 = 5,981.31/x
  3. Step 3: Cross multiply
    9,124.92x = 12,586.59 × 5,981.31
  4. Step 4: Simplify right side
    9,124.92x = 75,284,296.63
  5. Step 5: Solve for x
    x = 75,284,296.63/9,124.92
  6. Step 6: Final answer
    x = 8,250.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.