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Finding the Fourth Proportional to 6,643.35, 9,965.25 and 6,324.12

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Solution

The fourth proportional to 6,643.35, 9,965.25 and 6,324.12 is: 9,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.35 : 9,965.25 = 6,324.12 : x
  2. Step 2: Convert to fraction form
    6,643.35/9,965.25 = 6,324.12/x
  3. Step 3: Cross multiply
    6,643.35x = 9,965.25 × 6,324.12
  4. Step 4: Simplify right side
    6,643.35x = 63,021,436.83
  5. Step 5: Solve for x
    x = 63,021,436.83/6,643.35
  6. Step 6: Final answer
    x = 9,486.39

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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.