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Finding the Fourth Proportional to 6,297.38, 9,442.93 and 3,665.76

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Solution

The fourth proportional to 6,297.38, 9,442.93 and 3,665.76 is: 5,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.38 : 9,442.93 = 3,665.76 : x
  2. Step 2: Convert to fraction form
    6,297.38/9,442.93 = 3,665.76/x
  3. Step 3: Cross multiply
    6,297.38x = 9,442.93 × 3,665.76
  4. Step 4: Simplify right side
    6,297.38x = 34,615,515.08
  5. Step 5: Solve for x
    x = 34,615,515.08/6,297.38
  6. Step 6: Final answer
    x = 5,496.81

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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.