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Finding the Fourth Proportional to 9,864.78, 14,793.93 and 3,289.20

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Solution

The fourth proportional to 9,864.78, 14,793.93 and 3,289.20 is: 4,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.78 : 14,793.93 = 3,289.20 : x
  2. Step 2: Convert to fraction form
    9,864.78/14,793.93 = 3,289.20/x
  3. Step 3: Cross multiply
    9,864.78x = 14,793.93 × 3,289.20
  4. Step 4: Simplify right side
    9,864.78x = 48,660,194.56
  5. Step 5: Solve for x
    x = 48,660,194.56/9,864.78
  6. Step 6: Final answer
    x = 4,932.72

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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.