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Finding the Fourth Proportional to 9,617.84, 14,433.78 and 6,329.78

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Solution

The fourth proportional to 9,617.84, 14,433.78 and 6,329.78 is: 9,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.84 : 14,433.78 = 6,329.78 : x
  2. Step 2: Convert to fraction form
    9,617.84/14,433.78 = 6,329.78/x
  3. Step 3: Cross multiply
    9,617.84x = 14,433.78 × 6,329.78
  4. Step 4: Simplify right side
    9,617.84x = 91,362,651.97
  5. Step 5: Solve for x
    x = 91,362,651.97/9,617.84
  6. Step 6: Final answer
    x = 9,499.29

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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.