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Finding the Fourth Proportional to 6,034.77, 9,093.33 and 4,963.14

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Solution

The fourth proportional to 6,034.77, 9,093.33 and 4,963.14 is: 7,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.77 : 9,093.33 = 4,963.14 : x
  2. Step 2: Convert to fraction form
    6,034.77/9,093.33 = 4,963.14/x
  3. Step 3: Cross multiply
    6,034.77x = 9,093.33 × 4,963.14
  4. Step 4: Simplify right side
    6,034.77x = 45,131,469.86
  5. Step 5: Solve for x
    x = 45,131,469.86/6,034.77
  6. Step 6: Final answer
    x = 7,478.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.