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Finding the Fourth Proportional to 9,069, 13,602.30 and 3,805.08

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Solution

The fourth proportional to 9,069, 13,602.30 and 3,805.08 is: 5,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069 : 13,602.30 = 3,805.08 : x
  2. Step 2: Convert to fraction form
    9,069/13,602.30 = 3,805.08/x
  3. Step 3: Cross multiply
    9,069x = 13,602.30 × 3,805.08
  4. Step 4: Simplify right side
    9,069x = 51,757,839.68
  5. Step 5: Solve for x
    x = 51,757,839.68/9,069
  6. Step 6: Final answer
    x = 5,707.12

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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.