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Finding the Fourth Proportional to 9,616.39, 14,425.89 and 3,374.94

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Solution

The fourth proportional to 9,616.39, 14,425.89 and 3,374.94 is: 5,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.39 : 14,425.89 = 3,374.94 : x
  2. Step 2: Convert to fraction form
    9,616.39/14,425.89 = 3,374.94/x
  3. Step 3: Cross multiply
    9,616.39x = 14,425.89 × 3,374.94
  4. Step 4: Simplify right side
    9,616.39x = 48,686,513.20
  5. Step 5: Solve for x
    x = 48,686,513.20/9,616.39
  6. Step 6: Final answer
    x = 5,062.87

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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.