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Finding the Fourth Proportional to 6,892.02, 9,502.11 and 5,006.34

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Solution

The fourth proportional to 6,892.02, 9,502.11 and 5,006.34 is: 6,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.02 : 9,502.11 = 5,006.34 : x
  2. Step 2: Convert to fraction form
    6,892.02/9,502.11 = 5,006.34/x
  3. Step 3: Cross multiply
    6,892.02x = 9,502.11 × 5,006.34
  4. Step 4: Simplify right side
    6,892.02x = 47,570,793.38
  5. Step 5: Solve for x
    x = 47,570,793.38/6,892.02
  6. Step 6: Final answer
    x = 6,902.30

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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.