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Finding the Fourth Proportional to 9,309.68, 13,964.61 and 2,735.98

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Solution

The fourth proportional to 9,309.68, 13,964.61 and 2,735.98 is: 4,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.68 : 13,964.61 = 2,735.98 : x
  2. Step 2: Convert to fraction form
    9,309.68/13,964.61 = 2,735.98/x
  3. Step 3: Cross multiply
    9,309.68x = 13,964.61 × 2,735.98
  4. Step 4: Simplify right side
    9,309.68x = 38,206,893.67
  5. Step 5: Solve for x
    x = 38,206,893.67/9,309.68
  6. Step 6: Final answer
    x = 4,104.00

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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.