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Finding the Fourth Proportional to 6,195.83, 9,292.32 and 3,697.72

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Solution

The fourth proportional to 6,195.83, 9,292.32 and 3,697.72 is: 5,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.83 : 9,292.32 = 3,697.72 : x
  2. Step 2: Convert to fraction form
    6,195.83/9,292.32 = 3,697.72/x
  3. Step 3: Cross multiply
    6,195.83x = 9,292.32 × 3,697.72
  4. Step 4: Simplify right side
    6,195.83x = 34,360,374.28
  5. Step 5: Solve for x
    x = 34,360,374.28/6,195.83
  6. Step 6: Final answer
    x = 5,545.73

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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.