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Finding the Fourth Proportional to 6,177.32, 9,257.76 and 3,257.67

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Solution

The fourth proportional to 6,177.32, 9,257.76 and 3,257.67 is: 4,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.32 : 9,257.76 = 3,257.67 : x
  2. Step 2: Convert to fraction form
    6,177.32/9,257.76 = 3,257.67/x
  3. Step 3: Cross multiply
    6,177.32x = 9,257.76 × 3,257.67
  4. Step 4: Simplify right side
    6,177.32x = 30,158,727.02
  5. Step 5: Solve for x
    x = 30,158,727.02/6,177.32
  6. Step 6: Final answer
    x = 4,882.17

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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.