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Finding the Fourth Proportional to 6,076.92, 9,111.90 and 3,613.46

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Solution

The fourth proportional to 6,076.92, 9,111.90 and 3,613.46 is: 5,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.92 : 9,111.90 = 3,613.46 : x
  2. Step 2: Convert to fraction form
    6,076.92/9,111.90 = 3,613.46/x
  3. Step 3: Cross multiply
    6,076.92x = 9,111.90 × 3,613.46
  4. Step 4: Simplify right side
    6,076.92x = 32,925,486.17
  5. Step 5: Solve for x
    x = 32,925,486.17/6,076.92
  6. Step 6: Final answer
    x = 5,418.12

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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.