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Finding the Fourth Proportional to 9,659.97, 14,496.45 and 3,419.96

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Solution

The fourth proportional to 9,659.97, 14,496.45 and 3,419.96 is: 5,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.97 : 14,496.45 = 3,419.96 : x
  2. Step 2: Convert to fraction form
    9,659.97/14,496.45 = 3,419.96/x
  3. Step 3: Cross multiply
    9,659.97x = 14,496.45 × 3,419.96
  4. Step 4: Simplify right side
    9,659.97x = 49,577,279.14
  5. Step 5: Solve for x
    x = 49,577,279.14/9,659.97
  6. Step 6: Final answer
    x = 5,132.24

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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.