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Finding the Fourth Proportional to 6,886.14, 9,503.52 and 3,902.10

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Solution

The fourth proportional to 6,886.14, 9,503.52 and 3,902.10 is: 5,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.14 : 9,503.52 = 3,902.10 : x
  2. Step 2: Convert to fraction form
    6,886.14/9,503.52 = 3,902.10/x
  3. Step 3: Cross multiply
    6,886.14x = 9,503.52 × 3,902.10
  4. Step 4: Simplify right side
    6,886.14x = 37,083,685.39
  5. Step 5: Solve for x
    x = 37,083,685.39/6,886.14
  6. Step 6: Final answer
    x = 5,385.26

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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.