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Finding the Fourth Proportional to 9,864.64, 14,793.36 and 3,289.36

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Solution

The fourth proportional to 9,864.64, 14,793.36 and 3,289.36 is: 4,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.64 : 14,793.36 = 3,289.36 : x
  2. Step 2: Convert to fraction form
    9,864.64/14,793.36 = 3,289.36/x
  3. Step 3: Cross multiply
    9,864.64x = 14,793.36 × 3,289.36
  4. Step 4: Simplify right side
    9,864.64x = 48,660,686.65
  5. Step 5: Solve for x
    x = 48,660,686.65/9,864.64
  6. Step 6: Final answer
    x = 4,932.84

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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.