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Finding the Fourth Proportional to 25,928.48, 38,893.62 and 9,289.64

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Solution

The fourth proportional to 25,928.48, 38,893.62 and 9,289.64 is: 13,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,928.48 : 38,893.62 = 9,289.64 : x
  2. Step 2: Convert to fraction form
    25,928.48/38,893.62 = 9,289.64/x
  3. Step 3: Cross multiply
    25,928.48x = 38,893.62 × 9,289.64
  4. Step 4: Simplify right side
    25,928.48x = 361,307,728.10
  5. Step 5: Solve for x
    x = 361,307,728.10/25,928.48
  6. Step 6: Final answer
    x = 13,934.78

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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.