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Finding the Fourth Proportional to 9,166.68, 13,761 and 5,470.68

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Solution

The fourth proportional to 9,166.68, 13,761 and 5,470.68 is: 8,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.68 : 13,761 = 5,470.68 : x
  2. Step 2: Convert to fraction form
    9,166.68/13,761 = 5,470.68/x
  3. Step 3: Cross multiply
    9,166.68x = 13,761 × 5,470.68
  4. Step 4: Simplify right side
    9,166.68x = 75,282,027.48
  5. Step 5: Solve for x
    x = 75,282,027.48/9,166.68
  6. Step 6: Final answer
    x = 8,212.57

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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.