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Finding the Fourth Proportional to 6,243.09, 9,361 and 2,956.15

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Solution

The fourth proportional to 6,243.09, 9,361 and 2,956.15 is: 4,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.09 : 9,361 = 2,956.15 : x
  2. Step 2: Convert to fraction form
    6,243.09/9,361 = 2,956.15/x
  3. Step 3: Cross multiply
    6,243.09x = 9,361 × 2,956.15
  4. Step 4: Simplify right side
    6,243.09x = 27,672,520.15
  5. Step 5: Solve for x
    x = 27,672,520.15/6,243.09
  6. Step 6: Final answer
    x = 4,432.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.