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Finding the Fourth Proportional to 9,244, 12,756.84 and 5,052.34

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Solution

The fourth proportional to 9,244, 12,756.84 and 5,052.34 is: 6,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244 : 12,756.84 = 5,052.34 : x
  2. Step 2: Convert to fraction form
    9,244/12,756.84 = 5,052.34/x
  3. Step 3: Cross multiply
    9,244x = 12,756.84 × 5,052.34
  4. Step 4: Simplify right side
    9,244x = 64,451,893.01
  5. Step 5: Solve for x
    x = 64,451,893.01/9,244
  6. Step 6: Final answer
    x = 6,972.29

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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.