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Finding the Fourth Proportional to 6,886.10, 9,502.87 and 3,742.28

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Solution

The fourth proportional to 6,886.10, 9,502.87 and 3,742.28 is: 5,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.10 : 9,502.87 = 3,742.28 : x
  2. Step 2: Convert to fraction form
    6,886.10/9,502.87 = 3,742.28/x
  3. Step 3: Cross multiply
    6,886.10x = 9,502.87 × 3,742.28
  4. Step 4: Simplify right side
    6,886.10x = 35,562,400.34
  5. Step 5: Solve for x
    x = 35,562,400.34/6,886.10
  6. Step 6: Final answer
    x = 5,164.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.