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Finding the Fourth Proportional to 6,144.96, 9,213.52 and 4,191.20

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Solution

The fourth proportional to 6,144.96, 9,213.52 and 4,191.20 is: 6,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.96 : 9,213.52 = 4,191.20 : x
  2. Step 2: Convert to fraction form
    6,144.96/9,213.52 = 4,191.20/x
  3. Step 3: Cross multiply
    6,144.96x = 9,213.52 × 4,191.20
  4. Step 4: Simplify right side
    6,144.96x = 38,615,705.02
  5. Step 5: Solve for x
    x = 38,615,705.02/6,144.96
  6. Step 6: Final answer
    x = 6,284.13

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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.