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Finding the Fourth Proportional to 9,589.77, 14,385.24 and 3,016.17

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Solution

The fourth proportional to 9,589.77, 14,385.24 and 3,016.17 is: 4,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.77 : 14,385.24 = 3,016.17 : x
  2. Step 2: Convert to fraction form
    9,589.77/14,385.24 = 3,016.17/x
  3. Step 3: Cross multiply
    9,589.77x = 14,385.24 × 3,016.17
  4. Step 4: Simplify right side
    9,589.77x = 43,388,329.33
  5. Step 5: Solve for x
    x = 43,388,329.33/9,589.77
  6. Step 6: Final answer
    x = 4,524.44

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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.