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Finding the Fourth Proportional to 9,806.48, 14,709.96 and 2,881.20

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Solution

The fourth proportional to 9,806.48, 14,709.96 and 2,881.20 is: 4,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.48 : 14,709.96 = 2,881.20 : x
  2. Step 2: Convert to fraction form
    9,806.48/14,709.96 = 2,881.20/x
  3. Step 3: Cross multiply
    9,806.48x = 14,709.96 × 2,881.20
  4. Step 4: Simplify right side
    9,806.48x = 42,382,336.75
  5. Step 5: Solve for x
    x = 42,382,336.75/9,806.48
  6. Step 6: Final answer
    x = 4,321.87

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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.