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Finding the Fourth Proportional to 6,886.36, 9,503.19 and 3,742.54

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Solution

The fourth proportional to 6,886.36, 9,503.19 and 3,742.54 is: 5,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.36 : 9,503.19 = 3,742.54 : x
  2. Step 2: Convert to fraction form
    6,886.36/9,503.19 = 3,742.54/x
  3. Step 3: Cross multiply
    6,886.36x = 9,503.19 × 3,742.54
  4. Step 4: Simplify right side
    6,886.36x = 35,566,068.70
  5. Step 5: Solve for x
    x = 35,566,068.70/6,886.36
  6. Step 6: Final answer
    x = 5,164.71

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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.