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Finding the Fourth Proportional to 6,112.32, 9,168.84 and 1,729.68

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Solution

The fourth proportional to 6,112.32, 9,168.84 and 1,729.68 is: 2,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.32 : 9,168.84 = 1,729.68 : x
  2. Step 2: Convert to fraction form
    6,112.32/9,168.84 = 1,729.68/x
  3. Step 3: Cross multiply
    6,112.32x = 9,168.84 × 1,729.68
  4. Step 4: Simplify right side
    6,112.32x = 15,859,159.17
  5. Step 5: Solve for x
    x = 15,859,159.17/6,112.32
  6. Step 6: Final answer
    x = 2,594.62

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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.