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Finding the Fourth Proportional to 6,139.67, 9,213.62 and 2,442.69

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Solution

The fourth proportional to 6,139.67, 9,213.62 and 2,442.69 is: 3,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.67 : 9,213.62 = 2,442.69 : x
  2. Step 2: Convert to fraction form
    6,139.67/9,213.62 = 2,442.69/x
  3. Step 3: Cross multiply
    6,139.67x = 9,213.62 × 2,442.69
  4. Step 4: Simplify right side
    6,139.67x = 22,506,005.22
  5. Step 5: Solve for x
    x = 22,506,005.22/6,139.67
  6. Step 6: Final answer
    x = 3,665.67

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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.