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Finding the Fourth Proportional to 6,401.14, 9,593.51 and 4,937.22

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Solution

The fourth proportional to 6,401.14, 9,593.51 and 4,937.22 is: 7,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.14 : 9,593.51 = 4,937.22 : x
  2. Step 2: Convert to fraction form
    6,401.14/9,593.51 = 4,937.22/x
  3. Step 3: Cross multiply
    6,401.14x = 9,593.51 × 4,937.22
  4. Step 4: Simplify right side
    6,401.14x = 47,365,244.76
  5. Step 5: Solve for x
    x = 47,365,244.76/6,401.14
  6. Step 6: Final answer
    x = 7,399.50

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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.