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Finding the Fourth Proportional to 6,097.08, 9,157.77 and 5,753.22

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Solution

The fourth proportional to 6,097.08, 9,157.77 and 5,753.22 is: 8,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.08 : 9,157.77 = 5,753.22 : x
  2. Step 2: Convert to fraction form
    6,097.08/9,157.77 = 5,753.22/x
  3. Step 3: Cross multiply
    6,097.08x = 9,157.77 × 5,753.22
  4. Step 4: Simplify right side
    6,097.08x = 52,686,665.52
  5. Step 5: Solve for x
    x = 52,686,665.52/6,097.08
  6. Step 6: Final answer
    x = 8,641.29

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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.