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Finding the Fourth Proportional to 6,522.05, 9,003.89 and 5,102.73

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Solution

The fourth proportional to 6,522.05, 9,003.89 and 5,102.73 is: 7,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.05 : 9,003.89 = 5,102.73 : x
  2. Step 2: Convert to fraction form
    6,522.05/9,003.89 = 5,102.73/x
  3. Step 3: Cross multiply
    6,522.05x = 9,003.89 × 5,102.73
  4. Step 4: Simplify right side
    6,522.05x = 45,944,432.38
  5. Step 5: Solve for x
    x = 45,944,432.38/6,522.05
  6. Step 6: Final answer
    x = 7,044.47

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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.