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Finding the Fourth Proportional to 9,244.23, 12,756.98 and 5,052.48

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Solution

The fourth proportional to 9,244.23, 12,756.98 and 5,052.48 is: 6,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.23 : 12,756.98 = 5,052.48 : x
  2. Step 2: Convert to fraction form
    9,244.23/12,756.98 = 5,052.48/x
  3. Step 3: Cross multiply
    9,244.23x = 12,756.98 × 5,052.48
  4. Step 4: Simplify right side
    9,244.23x = 64,454,361.05
  5. Step 5: Solve for x
    x = 64,454,361.05/9,244.23
  6. Step 6: Final answer
    x = 6,972.39

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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.