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Finding the Fourth Proportional to 9,058.50, 13,593.22 and 3,864.38

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Solution

The fourth proportional to 9,058.50, 13,593.22 and 3,864.38 is: 5,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.50 : 13,593.22 = 3,864.38 : x
  2. Step 2: Convert to fraction form
    9,058.50/13,593.22 = 3,864.38/x
  3. Step 3: Cross multiply
    9,058.50x = 13,593.22 × 3,864.38
  4. Step 4: Simplify right side
    9,058.50x = 52,529,289.88
  5. Step 5: Solve for x
    x = 52,529,289.88/9,058.50
  6. Step 6: Final answer
    x = 5,798.89

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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.