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Finding the Fourth Proportional to 6,887.16, 9,504.14 and 3,743.32

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Solution

The fourth proportional to 6,887.16, 9,504.14 and 3,743.32 is: 5,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.16 : 9,504.14 = 3,743.32 : x
  2. Step 2: Convert to fraction form
    6,887.16/9,504.14 = 3,743.32/x
  3. Step 3: Cross multiply
    6,887.16x = 9,504.14 × 3,743.32
  4. Step 4: Simplify right side
    6,887.16x = 35,577,037.34
  5. Step 5: Solve for x
    x = 35,577,037.34/6,887.16
  6. Step 6: Final answer
    x = 5,165.71

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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.