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Finding the Fourth Proportional to 9,052.96, 12,496.14 and 5,701.38

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Solution

The fourth proportional to 9,052.96, 12,496.14 and 5,701.38 is: 7,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.96 : 12,496.14 = 5,701.38 : x
  2. Step 2: Convert to fraction form
    9,052.96/12,496.14 = 5,701.38/x
  3. Step 3: Cross multiply
    9,052.96x = 12,496.14 × 5,701.38
  4. Step 4: Simplify right side
    9,052.96x = 71,245,151.69
  5. Step 5: Solve for x
    x = 71,245,151.69/9,052.96
  6. Step 6: Final answer
    x = 7,869.82

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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.