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Finding the Fourth Proportional to 6,129.63, 9,194.24 and 3,357.61

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Solution

The fourth proportional to 6,129.63, 9,194.24 and 3,357.61 is: 5,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.63 : 9,194.24 = 3,357.61 : x
  2. Step 2: Convert to fraction form
    6,129.63/9,194.24 = 3,357.61/x
  3. Step 3: Cross multiply
    6,129.63x = 9,194.24 × 3,357.61
  4. Step 4: Simplify right side
    6,129.63x = 30,870,672.17
  5. Step 5: Solve for x
    x = 30,870,672.17/6,129.63
  6. Step 6: Final answer
    x = 5,036.30

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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.