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Finding the Fourth Proportional to 9,813.80, 14,718.62 and 3,238.43

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Solution

The fourth proportional to 9,813.80, 14,718.62 and 3,238.43 is: 4,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.80 : 14,718.62 = 3,238.43 : x
  2. Step 2: Convert to fraction form
    9,813.80/14,718.62 = 3,238.43/x
  3. Step 3: Cross multiply
    9,813.80x = 14,718.62 × 3,238.43
  4. Step 4: Simplify right side
    9,813.80x = 47,665,155.07
  5. Step 5: Solve for x
    x = 47,665,155.07/9,813.80
  6. Step 6: Final answer
    x = 4,856.95

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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.