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Finding the Fourth Proportional to 6,034.43, 9,045.96 and 3,111.95

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Solution

The fourth proportional to 6,034.43, 9,045.96 and 3,111.95 is: 4,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.43 : 9,045.96 = 3,111.95 : x
  2. Step 2: Convert to fraction form
    6,034.43/9,045.96 = 3,111.95/x
  3. Step 3: Cross multiply
    6,034.43x = 9,045.96 × 3,111.95
  4. Step 4: Simplify right side
    6,034.43x = 28,150,575.22
  5. Step 5: Solve for x
    x = 28,150,575.22/6,034.43
  6. Step 6: Final answer
    x = 4,664.99

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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.