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Finding the Fourth Proportional to 6,412.33, 9,618.40 and 5,314.38

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Solution

The fourth proportional to 6,412.33, 9,618.40 and 5,314.38 is: 7,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.33 : 9,618.40 = 5,314.38 : x
  2. Step 2: Convert to fraction form
    6,412.33/9,618.40 = 5,314.38/x
  3. Step 3: Cross multiply
    6,412.33x = 9,618.40 × 5,314.38
  4. Step 4: Simplify right side
    6,412.33x = 51,115,773.27
  5. Step 5: Solve for x
    x = 51,115,773.27/6,412.33
  6. Step 6: Final answer
    x = 7,971.48

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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.