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Finding the Fourth Proportional to 6,144.26, 9,216.40 and 4,195.40

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Solution

The fourth proportional to 6,144.26, 9,216.40 and 4,195.40 is: 6,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.26 : 9,216.40 = 4,195.40 : x
  2. Step 2: Convert to fraction form
    6,144.26/9,216.40 = 4,195.40/x
  3. Step 3: Cross multiply
    6,144.26x = 9,216.40 × 4,195.40
  4. Step 4: Simplify right side
    6,144.26x = 38,666,484.56
  5. Step 5: Solve for x
    x = 38,666,484.56/6,144.26
  6. Step 6: Final answer
    x = 6,293.11

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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.