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Finding the Fourth Proportional to 9,152.50, 12,626.84 and 5,969.50

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Solution

The fourth proportional to 9,152.50, 12,626.84 and 5,969.50 is: 8,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.50 : 12,626.84 = 5,969.50 : x
  2. Step 2: Convert to fraction form
    9,152.50/12,626.84 = 5,969.50/x
  3. Step 3: Cross multiply
    9,152.50x = 12,626.84 × 5,969.50
  4. Step 4: Simplify right side
    9,152.50x = 75,375,921.38
  5. Step 5: Solve for x
    x = 75,375,921.38/9,152.50
  6. Step 6: Final answer
    x = 8,235.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.