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Finding the Fourth Proportional to 6,076.67, 9,111.53 and 3,613.21

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Solution

The fourth proportional to 6,076.67, 9,111.53 and 3,613.21 is: 5,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.67 : 9,111.53 = 3,613.21 : x
  2. Step 2: Convert to fraction form
    6,076.67/9,111.53 = 3,613.21/x
  3. Step 3: Cross multiply
    6,076.67x = 9,111.53 × 3,613.21
  4. Step 4: Simplify right side
    6,076.67x = 32,921,853.25
  5. Step 5: Solve for x
    x = 32,921,853.25/6,076.67
  6. Step 6: Final answer
    x = 5,417.75

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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.