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Finding the Fourth Proportional to 6,241.74, 9,364.24 and 2,954.76

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Solution

The fourth proportional to 6,241.74, 9,364.24 and 2,954.76 is: 4,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.74 : 9,364.24 = 2,954.76 : x
  2. Step 2: Convert to fraction form
    6,241.74/9,364.24 = 2,954.76/x
  3. Step 3: Cross multiply
    6,241.74x = 9,364.24 × 2,954.76
  4. Step 4: Simplify right side
    6,241.74x = 27,669,081.78
  5. Step 5: Solve for x
    x = 27,669,081.78/6,241.74
  6. Step 6: Final answer
    x = 4,432.91

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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.