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Finding the Fourth Proportional to 7,078.67, 9,764.22 and 5,091.89

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Solution

The fourth proportional to 7,078.67, 9,764.22 and 5,091.89 is: 7,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.67 : 9,764.22 = 5,091.89 : x
  2. Step 2: Convert to fraction form
    7,078.67/9,764.22 = 5,091.89/x
  3. Step 3: Cross multiply
    7,078.67x = 9,764.22 × 5,091.89
  4. Step 4: Simplify right side
    7,078.67x = 49,718,334.18
  5. Step 5: Solve for x
    x = 49,718,334.18/7,078.67
  6. Step 6: Final answer
    x = 7,023.68

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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.