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Finding the Fourth Proportional to 9,182.65, 13,778.28 and 6,375.79

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Solution

The fourth proportional to 9,182.65, 13,778.28 and 6,375.79 is: 9,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.65 : 13,778.28 = 6,375.79 : x
  2. Step 2: Convert to fraction form
    9,182.65/13,778.28 = 6,375.79/x
  3. Step 3: Cross multiply
    9,182.65x = 13,778.28 × 6,375.79
  4. Step 4: Simplify right side
    9,182.65x = 87,847,419.84
  5. Step 5: Solve for x
    x = 87,847,419.84/9,182.65
  6. Step 6: Final answer
    x = 9,566.67

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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.