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Finding the Fourth Proportional to 9,616.44, 14,424.12 and 3,376.74

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Solution

The fourth proportional to 9,616.44, 14,424.12 and 3,376.74 is: 5,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.44 : 14,424.12 = 3,376.74 : x
  2. Step 2: Convert to fraction form
    9,616.44/14,424.12 = 3,376.74/x
  3. Step 3: Cross multiply
    9,616.44x = 14,424.12 × 3,376.74
  4. Step 4: Simplify right side
    9,616.44x = 48,706,502.97
  5. Step 5: Solve for x
    x = 48,706,502.97/9,616.44
  6. Step 6: Final answer
    x = 5,064.92

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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.