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Finding the Fourth Proportional to 7,086.27, 9,774.08 and 6,140.39

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Solution

The fourth proportional to 7,086.27, 9,774.08 and 6,140.39 is: 8,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.27 : 9,774.08 = 6,140.39 : x
  2. Step 2: Convert to fraction form
    7,086.27/9,774.08 = 6,140.39/x
  3. Step 3: Cross multiply
    7,086.27x = 9,774.08 × 6,140.39
  4. Step 4: Simplify right side
    7,086.27x = 60,016,583.52
  5. Step 5: Solve for x
    x = 60,016,583.52/7,086.27
  6. Step 6: Final answer
    x = 8,469.42

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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.