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Finding the Fourth Proportional to 6,886.29, 9,503.02 and 3,742.48

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Solution

The fourth proportional to 6,886.29, 9,503.02 and 3,742.48 is: 5,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.29 : 9,503.02 = 3,742.48 : x
  2. Step 2: Convert to fraction form
    6,886.29/9,503.02 = 3,742.48/x
  3. Step 3: Cross multiply
    6,886.29x = 9,503.02 × 3,742.48
  4. Step 4: Simplify right side
    6,886.29x = 35,564,862.29
  5. Step 5: Solve for x
    x = 35,564,862.29/6,886.29
  6. Step 6: Final answer
    x = 5,164.59

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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.