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Finding the Fourth Proportional to 9,441, 14,161.80 and 2,867.24

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Solution

The fourth proportional to 9,441, 14,161.80 and 2,867.24 is: 4,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 14,161.80 = 2,867.24 : x
  2. Step 2: Convert to fraction form
    9,441/14,161.80 = 2,867.24/x
  3. Step 3: Cross multiply
    9,441x = 14,161.80 × 2,867.24
  4. Step 4: Simplify right side
    9,441x = 40,605,314.84
  5. Step 5: Solve for x
    x = 40,605,314.84/9,441
  6. Step 6: Final answer
    x = 4,300.95

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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.