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Finding the Fourth Proportional to 9,841.20, 14,760.24 and 3,266.40

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Solution

The fourth proportional to 9,841.20, 14,760.24 and 3,266.40 is: 4,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.20 : 14,760.24 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    9,841.20/14,760.24 = 3,266.40/x
  3. Step 3: Cross multiply
    9,841.20x = 14,760.24 × 3,266.40
  4. Step 4: Simplify right side
    9,841.20x = 48,212,847.94
  5. Step 5: Solve for x
    x = 48,212,847.94/9,841.20
  6. Step 6: Final answer
    x = 4,899.08

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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.