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Finding the Fourth Proportional to 6,317.86, 9,480.89 and 2,855.14

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Solution

The fourth proportional to 6,317.86, 9,480.89 and 2,855.14 is: 4,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.86 : 9,480.89 = 2,855.14 : x
  2. Step 2: Convert to fraction form
    6,317.86/9,480.89 = 2,855.14/x
  3. Step 3: Cross multiply
    6,317.86x = 9,480.89 × 2,855.14
  4. Step 4: Simplify right side
    6,317.86x = 27,069,268.27
  5. Step 5: Solve for x
    x = 27,069,268.27/6,317.86
  6. Step 6: Final answer
    x = 4,284.56

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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.