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Finding the Fourth Proportional to 6,129.10, 9,188.46 and 2,796.16

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Solution

The fourth proportional to 6,129.10, 9,188.46 and 2,796.16 is: 4,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.10 : 9,188.46 = 2,796.16 : x
  2. Step 2: Convert to fraction form
    6,129.10/9,188.46 = 2,796.16/x
  3. Step 3: Cross multiply
    6,129.10x = 9,188.46 × 2,796.16
  4. Step 4: Simplify right side
    6,129.10x = 25,692,404.31
  5. Step 5: Solve for x
    x = 25,692,404.31/6,129.10
  6. Step 6: Final answer
    x = 4,191.87

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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.