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Finding the Fourth Proportional to 6,886.42, 9,503.26 and 3,742.61

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Solution

The fourth proportional to 6,886.42, 9,503.26 and 3,742.61 is: 5,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.42 : 9,503.26 = 3,742.61 : x
  2. Step 2: Convert to fraction form
    6,886.42/9,503.26 = 3,742.61/x
  3. Step 3: Cross multiply
    6,886.42x = 9,503.26 × 3,742.61
  4. Step 4: Simplify right side
    6,886.42x = 35,566,995.91
  5. Step 5: Solve for x
    x = 35,566,995.91/6,886.42
  6. Step 6: Final answer
    x = 5,164.80

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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.