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Finding the Fourth Proportional to 7,091.71, 9,788.70 and 4,108.27

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Solution

The fourth proportional to 7,091.71, 9,788.70 and 4,108.27 is: 5,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.71 : 9,788.70 = 4,108.27 : x
  2. Step 2: Convert to fraction form
    7,091.71/9,788.70 = 4,108.27/x
  3. Step 3: Cross multiply
    7,091.71x = 9,788.70 × 4,108.27
  4. Step 4: Simplify right side
    7,091.71x = 40,214,622.55
  5. Step 5: Solve for x
    x = 40,214,622.55/7,091.71
  6. Step 6: Final answer
    x = 5,670.65

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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.