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Finding the Fourth Proportional to 6,156.16, 9,234.24 and 3,077.44

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Solution

The fourth proportional to 6,156.16, 9,234.24 and 3,077.44 is: 4,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.16 : 9,234.24 = 3,077.44 : x
  2. Step 2: Convert to fraction form
    6,156.16/9,234.24 = 3,077.44/x
  3. Step 3: Cross multiply
    6,156.16x = 9,234.24 × 3,077.44
  4. Step 4: Simplify right side
    6,156.16x = 28,417,819.55
  5. Step 5: Solve for x
    x = 28,417,819.55/6,156.16
  6. Step 6: Final answer
    x = 4,616.16

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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.