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Finding the Fourth Proportional to 6,887.24, 9,504.26 and 3,743.40

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Solution

The fourth proportional to 6,887.24, 9,504.26 and 3,743.40 is: 5,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.24 : 9,504.26 = 3,743.40 : x
  2. Step 2: Convert to fraction form
    6,887.24/9,504.26 = 3,743.40/x
  3. Step 3: Cross multiply
    6,887.24x = 9,504.26 × 3,743.40
  4. Step 4: Simplify right side
    6,887.24x = 35,578,246.88
  5. Step 5: Solve for x
    x = 35,578,246.88/6,887.24
  6. Step 6: Final answer
    x = 5,165.82

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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.