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Finding the Fourth Proportional to 6,122.31, 9,194.23 and 6,034.66

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Solution

The fourth proportional to 6,122.31, 9,194.23 and 6,034.66 is: 9,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.31 : 9,194.23 = 6,034.66 : x
  2. Step 2: Convert to fraction form
    6,122.31/9,194.23 = 6,034.66/x
  3. Step 3: Cross multiply
    6,122.31x = 9,194.23 × 6,034.66
  4. Step 4: Simplify right side
    6,122.31x = 55,484,036.57
  5. Step 5: Solve for x
    x = 55,484,036.57/6,122.31
  6. Step 6: Final answer
    x = 9,062.60

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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.