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Finding the Fourth Proportional to 6,116.14, 8,437.12 and 4,229.65

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Solution

The fourth proportional to 6,116.14, 8,437.12 and 4,229.65 is: 5,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.14 : 8,437.12 = 4,229.65 : x
  2. Step 2: Convert to fraction form
    6,116.14/8,437.12 = 4,229.65/x
  3. Step 3: Cross multiply
    6,116.14x = 8,437.12 × 4,229.65
  4. Step 4: Simplify right side
    6,116.14x = 35,686,064.61
  5. Step 5: Solve for x
    x = 35,686,064.61/6,116.14
  6. Step 6: Final answer
    x = 5,834.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.