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Finding the Fourth Proportional to 9,961.16, 14,950.98 and 5,034.26

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Solution

The fourth proportional to 9,961.16, 14,950.98 and 5,034.26 is: 7,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.16 : 14,950.98 = 5,034.26 : x
  2. Step 2: Convert to fraction form
    9,961.16/14,950.98 = 5,034.26/x
  3. Step 3: Cross multiply
    9,961.16x = 14,950.98 × 5,034.26
  4. Step 4: Simplify right side
    9,961.16x = 75,267,120.57
  5. Step 5: Solve for x
    x = 75,267,120.57/9,961.16
  6. Step 6: Final answer
    x = 7,556.06

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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.