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Finding the Fourth Proportional to 9,806.44, 14,709.53 and 2,410.96

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Solution

The fourth proportional to 9,806.44, 14,709.53 and 2,410.96 is: 3,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.44 : 14,709.53 = 2,410.96 : x
  2. Step 2: Convert to fraction form
    9,806.44/14,709.53 = 2,410.96/x
  3. Step 3: Cross multiply
    9,806.44x = 14,709.53 × 2,410.96
  4. Step 4: Simplify right side
    9,806.44x = 35,464,139.67
  5. Step 5: Solve for x
    x = 35,464,139.67/9,806.44
  6. Step 6: Final answer
    x = 3,616.41

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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.