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Finding the Fourth Proportional to 6,212.60, 9,314.80 and 3,049.65

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Solution

The fourth proportional to 6,212.60, 9,314.80 and 3,049.65 is: 4,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.60 : 9,314.80 = 3,049.65 : x
  2. Step 2: Convert to fraction form
    6,212.60/9,314.80 = 3,049.65/x
  3. Step 3: Cross multiply
    6,212.60x = 9,314.80 × 3,049.65
  4. Step 4: Simplify right side
    6,212.60x = 28,406,872.20
  5. Step 5: Solve for x
    x = 28,406,872.20/6,212.60
  6. Step 6: Final answer
    x = 4,572.46

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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.