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Finding the Fourth Proportional to 6,886.86, 9,503.68 and 3,902.62

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Solution

The fourth proportional to 6,886.86, 9,503.68 and 3,902.62 is: 5,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.86 : 9,503.68 = 3,902.62 : x
  2. Step 2: Convert to fraction form
    6,886.86/9,503.68 = 3,902.62/x
  3. Step 3: Cross multiply
    6,886.86x = 9,503.68 × 3,902.62
  4. Step 4: Simplify right side
    6,886.86x = 37,089,251.64
  5. Step 5: Solve for x
    x = 37,089,251.64/6,886.86
  6. Step 6: Final answer
    x = 5,385.51

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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.