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Finding the Fourth Proportional to 6,062.24, 9,092.33 and 1,678.67

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Solution

The fourth proportional to 6,062.24, 9,092.33 and 1,678.67 is: 2,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.24 : 9,092.33 = 1,678.67 : x
  2. Step 2: Convert to fraction form
    6,062.24/9,092.33 = 1,678.67/x
  3. Step 3: Cross multiply
    6,062.24x = 9,092.33 × 1,678.67
  4. Step 4: Simplify right side
    6,062.24x = 15,263,021.60
  5. Step 5: Solve for x
    x = 15,263,021.60/6,062.24
  6. Step 6: Final answer
    x = 2,517.72

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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.