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Finding the Fourth Proportional to 6,091.34, 9,158.76 and 5,610.20

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Solution

The fourth proportional to 6,091.34, 9,158.76 and 5,610.20 is: 8,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.34 : 9,158.76 = 5,610.20 : x
  2. Step 2: Convert to fraction form
    6,091.34/9,158.76 = 5,610.20/x
  3. Step 3: Cross multiply
    6,091.34x = 9,158.76 × 5,610.20
  4. Step 4: Simplify right side
    6,091.34x = 51,382,475.35
  5. Step 5: Solve for x
    x = 51,382,475.35/6,091.34
  6. Step 6: Final answer
    x = 8,435.33

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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.