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Finding the Fourth Proportional to 9,151.48, 13,609.49 and 8,859.88

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Solution

The fourth proportional to 9,151.48, 13,609.49 and 8,859.88 is: 13,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.48 : 13,609.49 = 8,859.88 : x
  2. Step 2: Convert to fraction form
    9,151.48/13,609.49 = 8,859.88/x
  3. Step 3: Cross multiply
    9,151.48x = 13,609.49 × 8,859.88
  4. Step 4: Simplify right side
    9,151.48x = 120,578,448.26
  5. Step 5: Solve for x
    x = 120,578,448.26/9,151.48
  6. Step 6: Final answer
    x = 13,175.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.