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Finding the Fourth Proportional to 9,447.87, 14,101.73 and 8,340.69

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Solution

The fourth proportional to 9,447.87, 14,101.73 and 8,340.69 is: 12,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.87 : 14,101.73 = 8,340.69 : x
  2. Step 2: Convert to fraction form
    9,447.87/14,101.73 = 8,340.69/x
  3. Step 3: Cross multiply
    9,447.87x = 14,101.73 × 8,340.69
  4. Step 4: Simplify right side
    9,447.87x = 117,618,158.39
  5. Step 5: Solve for x
    x = 117,618,158.39/9,447.87
  6. Step 6: Final answer
    x = 12,449.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.