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Finding the Fourth Proportional to 9,614.09, 14,422.71 and 2,950.42

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Solution

The fourth proportional to 9,614.09, 14,422.71 and 2,950.42 is: 4,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.09 : 14,422.71 = 2,950.42 : x
  2. Step 2: Convert to fraction form
    9,614.09/14,422.71 = 2,950.42/x
  3. Step 3: Cross multiply
    9,614.09x = 14,422.71 × 2,950.42
  4. Step 4: Simplify right side
    9,614.09x = 42,552,979.92
  5. Step 5: Solve for x
    x = 42,552,979.92/9,614.09
  6. Step 6: Final answer
    x = 4,426.11

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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.