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Finding the Fourth Proportional to 6,886.12, 9,502.92 and 3,742.40

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Solution

The fourth proportional to 6,886.12, 9,502.92 and 3,742.40 is: 5,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.12 : 9,502.92 = 3,742.40 : x
  2. Step 2: Convert to fraction form
    6,886.12/9,502.92 = 3,742.40/x
  3. Step 3: Cross multiply
    6,886.12x = 9,502.92 × 3,742.40
  4. Step 4: Simplify right side
    6,886.12x = 35,563,727.81
  5. Step 5: Solve for x
    x = 35,563,727.81/6,886.12
  6. Step 6: Final answer
    x = 5,164.55

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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.