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Finding the Fourth Proportional to 6,112.67, 9,116.15 and 5,194.13

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Solution

The fourth proportional to 6,112.67, 9,116.15 and 5,194.13 is: 7,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.67 : 9,116.15 = 5,194.13 : x
  2. Step 2: Convert to fraction form
    6,112.67/9,116.15 = 5,194.13/x
  3. Step 3: Cross multiply
    6,112.67x = 9,116.15 × 5,194.13
  4. Step 4: Simplify right side
    6,112.67x = 47,350,396.65
  5. Step 5: Solve for x
    x = 47,350,396.65/6,112.67
  6. Step 6: Final answer
    x = 7,746.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.