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Finding the Fourth Proportional to 6,140.88, 9,217.73 and 5,442.66

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Solution

The fourth proportional to 6,140.88, 9,217.73 and 5,442.66 is: 8,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.88 : 9,217.73 = 5,442.66 : x
  2. Step 2: Convert to fraction form
    6,140.88/9,217.73 = 5,442.66/x
  3. Step 3: Cross multiply
    6,140.88x = 9,217.73 × 5,442.66
  4. Step 4: Simplify right side
    6,140.88x = 50,168,983.97
  5. Step 5: Solve for x
    x = 50,168,983.97/6,140.88
  6. Step 6: Final answer
    x = 8,169.67

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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.