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Finding the Fourth Proportional to 9,616.86, 14,423.67 and 4,685.22

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Solution

The fourth proportional to 9,616.86, 14,423.67 and 4,685.22 is: 7,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.86 : 14,423.67 = 4,685.22 : x
  2. Step 2: Convert to fraction form
    9,616.86/14,423.67 = 4,685.22/x
  3. Step 3: Cross multiply
    9,616.86x = 14,423.67 × 4,685.22
  4. Step 4: Simplify right side
    9,616.86x = 67,578,067.16
  5. Step 5: Solve for x
    x = 67,578,067.16/9,616.86
  6. Step 6: Final answer
    x = 7,027.04

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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.