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Finding the Fourth Proportional to 6,334.24, 9,501.22 and 3,418.24

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Solution

The fourth proportional to 6,334.24, 9,501.22 and 3,418.24 is: 5,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.24 : 9,501.22 = 3,418.24 : x
  2. Step 2: Convert to fraction form
    6,334.24/9,501.22 = 3,418.24/x
  3. Step 3: Cross multiply
    6,334.24x = 9,501.22 × 3,418.24
  4. Step 4: Simplify right side
    6,334.24x = 32,477,450.25
  5. Step 5: Solve for x
    x = 32,477,450.25/6,334.24
  6. Step 6: Final answer
    x = 5,127.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.