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Finding the Fourth Proportional to 6,886.20, 9,502.96 and 3,742.36

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Solution

The fourth proportional to 6,886.20, 9,502.96 and 3,742.36 is: 5,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.20 : 9,502.96 = 3,742.36 : x
  2. Step 2: Convert to fraction form
    6,886.20/9,502.96 = 3,742.36/x
  3. Step 3: Cross multiply
    6,886.20x = 9,502.96 × 3,742.36
  4. Step 4: Simplify right side
    6,886.20x = 35,563,497.39
  5. Step 5: Solve for x
    x = 35,563,497.39/6,886.20
  6. Step 6: Final answer
    x = 5,164.46

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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.