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Finding the Fourth Proportional to 9,268.34, 13,902.60 and 2,342.84

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Solution

The fourth proportional to 9,268.34, 13,902.60 and 2,342.84 is: 3,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.34 : 13,902.60 = 2,342.84 : x
  2. Step 2: Convert to fraction form
    9,268.34/13,902.60 = 2,342.84/x
  3. Step 3: Cross multiply
    9,268.34x = 13,902.60 × 2,342.84
  4. Step 4: Simplify right side
    9,268.34x = 32,571,567.38
  5. Step 5: Solve for x
    x = 32,571,567.38/9,268.34
  6. Step 6: Final answer
    x = 3,514.28

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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.