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Finding the Fourth Proportional to 6,902.13, 9,526.17 and 4,069.34

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Solution

The fourth proportional to 6,902.13, 9,526.17 and 4,069.34 is: 5,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.13 : 9,526.17 = 4,069.34 : x
  2. Step 2: Convert to fraction form
    6,902.13/9,526.17 = 4,069.34/x
  3. Step 3: Cross multiply
    6,902.13x = 9,526.17 × 4,069.34
  4. Step 4: Simplify right side
    6,902.13x = 38,765,177.00
  5. Step 5: Solve for x
    x = 38,765,177.00/6,902.13
  6. Step 6: Final answer
    x = 5,616.41

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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.