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Finding the Fourth Proportional to 6,832.60, 9,425.65 and 5,886.75

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Solution

The fourth proportional to 6,832.60, 9,425.65 and 5,886.75 is: 8,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.60 : 9,425.65 = 5,886.75 : x
  2. Step 2: Convert to fraction form
    6,832.60/9,425.65 = 5,886.75/x
  3. Step 3: Cross multiply
    6,832.60x = 9,425.65 × 5,886.75
  4. Step 4: Simplify right side
    6,832.60x = 55,486,445.14
  5. Step 5: Solve for x
    x = 55,486,445.14/6,832.60
  6. Step 6: Final answer
    x = 8,120.84

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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.