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Finding the Fourth Proportional to 6,046.18, 9,065.15 and 3,077.33

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Solution

The fourth proportional to 6,046.18, 9,065.15 and 3,077.33 is: 4,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.18 : 9,065.15 = 3,077.33 : x
  2. Step 2: Convert to fraction form
    6,046.18/9,065.15 = 3,077.33/x
  3. Step 3: Cross multiply
    6,046.18x = 9,065.15 × 3,077.33
  4. Step 4: Simplify right side
    6,046.18x = 27,896,408.88
  5. Step 5: Solve for x
    x = 27,896,408.88/6,046.18
  6. Step 6: Final answer
    x = 4,613.89

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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.