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Finding the Fourth Proportional to 6,370.38, 9,549.81 and 2,265.42

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Solution

The fourth proportional to 6,370.38, 9,549.81 and 2,265.42 is: 3,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.38 : 9,549.81 = 2,265.42 : x
  2. Step 2: Convert to fraction form
    6,370.38/9,549.81 = 2,265.42/x
  3. Step 3: Cross multiply
    6,370.38x = 9,549.81 × 2,265.42
  4. Step 4: Simplify right side
    6,370.38x = 21,634,330.57
  5. Step 5: Solve for x
    x = 21,634,330.57/6,370.38
  6. Step 6: Final answer
    x = 3,396.08

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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.