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Finding the Fourth Proportional to 9,616.73, 14,416.38 and 3,771.77

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Solution

The fourth proportional to 9,616.73, 14,416.38 and 3,771.77 is: 5,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.73 : 14,416.38 = 3,771.77 : x
  2. Step 2: Convert to fraction form
    9,616.73/14,416.38 = 3,771.77/x
  3. Step 3: Cross multiply
    9,616.73x = 14,416.38 × 3,771.77
  4. Step 4: Simplify right side
    9,616.73x = 54,375,197.51
  5. Step 5: Solve for x
    x = 54,375,197.51/9,616.73
  6. Step 6: Final answer
    x = 5,654.23

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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.