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Finding the Fourth Proportional to 6,169.32, 9,258.23 and 5,346.77

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Solution

The fourth proportional to 6,169.32, 9,258.23 and 5,346.77 is: 8,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.32 : 9,258.23 = 5,346.77 : x
  2. Step 2: Convert to fraction form
    6,169.32/9,258.23 = 5,346.77/x
  3. Step 3: Cross multiply
    6,169.32x = 9,258.23 × 5,346.77
  4. Step 4: Simplify right side
    6,169.32x = 49,501,553.39
  5. Step 5: Solve for x
    x = 49,501,553.39/6,169.32
  6. Step 6: Final answer
    x = 8,023.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.