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Finding the Fourth Proportional to 25,928.12, 38,904.89 and 9,289.44

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Solution

The fourth proportional to 25,928.12, 38,904.89 and 9,289.44 is: 13,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,928.12 : 38,904.89 = 9,289.44 : x
  2. Step 2: Convert to fraction form
    25,928.12/38,904.89 = 9,289.44/x
  3. Step 3: Cross multiply
    25,928.12x = 38,904.89 × 9,289.44
  4. Step 4: Simplify right side
    25,928.12x = 361,404,594.91
  5. Step 5: Solve for x
    x = 361,404,594.91/25,928.12
  6. Step 6: Final answer
    x = 13,938.71

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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.