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Finding the Fourth Proportional to 6,833.60, 9,427.03 and 5,887.75

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Solution

The fourth proportional to 6,833.60, 9,427.03 and 5,887.75 is: 8,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.60 : 9,427.03 = 5,887.75 : x
  2. Step 2: Convert to fraction form
    6,833.60/9,427.03 = 5,887.75/x
  3. Step 3: Cross multiply
    6,833.60x = 9,427.03 × 5,887.75
  4. Step 4: Simplify right side
    6,833.60x = 55,503,995.88
  5. Step 5: Solve for x
    x = 55,503,995.88/6,833.60
  6. Step 6: Final answer
    x = 8,122.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.