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Finding the Fourth Proportional to 9,867.40, 14,793.78 and 3,624.10

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Solution

The fourth proportional to 9,867.40, 14,793.78 and 3,624.10 is: 5,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.40 : 14,793.78 = 3,624.10 : x
  2. Step 2: Convert to fraction form
    9,867.40/14,793.78 = 3,624.10/x
  3. Step 3: Cross multiply
    9,867.40x = 14,793.78 × 3,624.10
  4. Step 4: Simplify right side
    9,867.40x = 53,614,138.10
  5. Step 5: Solve for x
    x = 53,614,138.10/9,867.40
  6. Step 6: Final answer
    x = 5,433.46

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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.