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Finding the Fourth Proportional to 9,268.32, 13,902.32 and 2,342.80

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Solution

The fourth proportional to 9,268.32, 13,902.32 and 2,342.80 is: 3,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.32 : 13,902.32 = 2,342.80 : x
  2. Step 2: Convert to fraction form
    9,268.32/13,902.32 = 2,342.80/x
  3. Step 3: Cross multiply
    9,268.32x = 13,902.32 × 2,342.80
  4. Step 4: Simplify right side
    9,268.32x = 32,570,355.30
  5. Step 5: Solve for x
    x = 32,570,355.30/9,268.32
  6. Step 6: Final answer
    x = 3,514.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.