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Finding the Fourth Proportional to 9,644.49, 14,468.09 and 3,068.43

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Solution

The fourth proportional to 9,644.49, 14,468.09 and 3,068.43 is: 4,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.49 : 14,468.09 = 3,068.43 : x
  2. Step 2: Convert to fraction form
    9,644.49/14,468.09 = 3,068.43/x
  3. Step 3: Cross multiply
    9,644.49x = 14,468.09 × 3,068.43
  4. Step 4: Simplify right side
    9,644.49x = 44,394,306.06
  5. Step 5: Solve for x
    x = 44,394,306.06/9,644.49
  6. Step 6: Final answer
    x = 4,603.07

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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.