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Finding the Fourth Proportional to 9,826.80, 14,730.90 and 3,249.39

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Solution

The fourth proportional to 9,826.80, 14,730.90 and 3,249.39 is: 4,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.80 : 14,730.90 = 3,249.39 : x
  2. Step 2: Convert to fraction form
    9,826.80/14,730.90 = 3,249.39/x
  3. Step 3: Cross multiply
    9,826.80x = 14,730.90 × 3,249.39
  4. Step 4: Simplify right side
    9,826.80x = 47,866,439.15
  5. Step 5: Solve for x
    x = 47,866,439.15/9,826.80
  6. Step 6: Final answer
    x = 4,871.01

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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.