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Finding the Fourth Proportional to 9,659.56, 14,488.84 and 2,734.08

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Solution

The fourth proportional to 9,659.56, 14,488.84 and 2,734.08 is: 4,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.56 : 14,488.84 = 2,734.08 : x
  2. Step 2: Convert to fraction form
    9,659.56/14,488.84 = 2,734.08/x
  3. Step 3: Cross multiply
    9,659.56x = 14,488.84 × 2,734.08
  4. Step 4: Simplify right side
    9,659.56x = 39,613,647.67
  5. Step 5: Solve for x
    x = 39,613,647.67/9,659.56
  6. Step 6: Final answer
    x = 4,100.98

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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.