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Finding the Fourth Proportional to 6,230.78, 9,389.13 and 5,645.75

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Solution

The fourth proportional to 6,230.78, 9,389.13 and 5,645.75 is: 8,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.78 : 9,389.13 = 5,645.75 : x
  2. Step 2: Convert to fraction form
    6,230.78/9,389.13 = 5,645.75/x
  3. Step 3: Cross multiply
    6,230.78x = 9,389.13 × 5,645.75
  4. Step 4: Simplify right side
    6,230.78x = 53,008,633.75
  5. Step 5: Solve for x
    x = 53,008,633.75/6,230.78
  6. Step 6: Final answer
    x = 8,507.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.