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Finding the Fourth Proportional to 6,886.10, 9,502.85 and 3,742.27

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Solution

The fourth proportional to 6,886.10, 9,502.85 and 3,742.27 is: 5,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.10 : 9,502.85 = 3,742.27 : x
  2. Step 2: Convert to fraction form
    6,886.10/9,502.85 = 3,742.27/x
  3. Step 3: Cross multiply
    6,886.10x = 9,502.85 × 3,742.27
  4. Step 4: Simplify right side
    6,886.10x = 35,562,164.24
  5. Step 5: Solve for x
    x = 35,562,164.24/6,886.10
  6. Step 6: Final answer
    x = 5,164.34

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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.