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Finding the Fourth Proportional to 9,066.60, 13,589.10 and 3,801.60

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Solution

The fourth proportional to 9,066.60, 13,589.10 and 3,801.60 is: 5,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,066.60 : 13,589.10 = 3,801.60 : x
  2. Step 2: Convert to fraction form
    9,066.60/13,589.10 = 3,801.60/x
  3. Step 3: Cross multiply
    9,066.60x = 13,589.10 × 3,801.60
  4. Step 4: Simplify right side
    9,066.60x = 51,660,322.56
  5. Step 5: Solve for x
    x = 51,660,322.56/9,066.60
  6. Step 6: Final answer
    x = 5,697.87

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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.