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Finding the Fourth Proportional to 6,144.38, 9,212.65 and 2,858.48

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Solution

The fourth proportional to 6,144.38, 9,212.65 and 2,858.48 is: 4,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.38 : 9,212.65 = 2,858.48 : x
  2. Step 2: Convert to fraction form
    6,144.38/9,212.65 = 2,858.48/x
  3. Step 3: Cross multiply
    6,144.38x = 9,212.65 × 2,858.48
  4. Step 4: Simplify right side
    6,144.38x = 26,334,175.77
  5. Step 5: Solve for x
    x = 26,334,175.77/6,144.38
  6. Step 6: Final answer
    x = 4,285.90

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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.