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Finding the Fourth Proportional to 9,180.71, 12,676.52 and 7,052.88

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Solution

The fourth proportional to 9,180.71, 12,676.52 and 7,052.88 is: 9,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.71 : 12,676.52 = 7,052.88 : x
  2. Step 2: Convert to fraction form
    9,180.71/12,676.52 = 7,052.88/x
  3. Step 3: Cross multiply
    9,180.71x = 12,676.52 × 7,052.88
  4. Step 4: Simplify right side
    9,180.71x = 89,405,965.56
  5. Step 5: Solve for x
    x = 89,405,965.56/9,180.71
  6. Step 6: Final answer
    x = 9,738.46

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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.