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Finding the Fourth Proportional to 6,151.93, 9,222.38 and 2,253.61

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Solution

The fourth proportional to 6,151.93, 9,222.38 and 2,253.61 is: 3,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.93 : 9,222.38 = 2,253.61 : x
  2. Step 2: Convert to fraction form
    6,151.93/9,222.38 = 2,253.61/x
  3. Step 3: Cross multiply
    6,151.93x = 9,222.38 × 2,253.61
  4. Step 4: Simplify right side
    6,151.93x = 20,783,636.52
  5. Step 5: Solve for x
    x = 20,783,636.52/6,151.93
  6. Step 6: Final answer
    x = 3,378.39

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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.