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Finding the Fourth Proportional to 6,091.77, 9,140.68 and 3,421.71

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Solution

The fourth proportional to 6,091.77, 9,140.68 and 3,421.71 is: 5,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.77 : 9,140.68 = 3,421.71 : x
  2. Step 2: Convert to fraction form
    6,091.77/9,140.68 = 3,421.71/x
  3. Step 3: Cross multiply
    6,091.77x = 9,140.68 × 3,421.71
  4. Step 4: Simplify right side
    6,091.77x = 31,276,760.44
  5. Step 5: Solve for x
    x = 31,276,760.44/6,091.77
  6. Step 6: Final answer
    x = 5,134.26

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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.