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Finding the Fourth Proportional to 6,077.70, 9,103.86 and 3,147.12

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Solution

The fourth proportional to 6,077.70, 9,103.86 and 3,147.12 is: 4,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.70 : 9,103.86 = 3,147.12 : x
  2. Step 2: Convert to fraction form
    6,077.70/9,103.86 = 3,147.12/x
  3. Step 3: Cross multiply
    6,077.70x = 9,103.86 × 3,147.12
  4. Step 4: Simplify right side
    6,077.70x = 28,650,939.88
  5. Step 5: Solve for x
    x = 28,650,939.88/6,077.70
  6. Step 6: Final answer
    x = 4,714.11

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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.