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Finding the Fourth Proportional to 9,813.81, 14,718.60 and 3,238.44

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Solution

The fourth proportional to 9,813.81, 14,718.60 and 3,238.44 is: 4,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.81 : 14,718.60 = 3,238.44 : x
  2. Step 2: Convert to fraction form
    9,813.81/14,718.60 = 3,238.44/x
  3. Step 3: Cross multiply
    9,813.81x = 14,718.60 × 3,238.44
  4. Step 4: Simplify right side
    9,813.81x = 47,665,302.98
  5. Step 5: Solve for x
    x = 47,665,302.98/9,813.81
  6. Step 6: Final answer
    x = 4,856.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.