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Finding the Fourth Proportional to 6,768.77, 9,339.40 and 5,177.21

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Solution

The fourth proportional to 6,768.77, 9,339.40 and 5,177.21 is: 7,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.77 : 9,339.40 = 5,177.21 : x
  2. Step 2: Convert to fraction form
    6,768.77/9,339.40 = 5,177.21/x
  3. Step 3: Cross multiply
    6,768.77x = 9,339.40 × 5,177.21
  4. Step 4: Simplify right side
    6,768.77x = 48,352,040.82
  5. Step 5: Solve for x
    x = 48,352,040.82/6,768.77
  6. Step 6: Final answer
    x = 7,143.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.