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Finding the Fourth Proportional to 9,686.66, 14,530.05 and 3,843.25

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Solution

The fourth proportional to 9,686.66, 14,530.05 and 3,843.25 is: 5,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.66 : 14,530.05 = 3,843.25 : x
  2. Step 2: Convert to fraction form
    9,686.66/14,530.05 = 3,843.25/x
  3. Step 3: Cross multiply
    9,686.66x = 14,530.05 × 3,843.25
  4. Step 4: Simplify right side
    9,686.66x = 55,842,578.34
  5. Step 5: Solve for x
    x = 55,842,578.34/9,686.66
  6. Step 6: Final answer
    x = 5,764.90

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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.