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Finding the Fourth Proportional to 9,616.64, 14,426.57 and 4,422.38

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Solution

The fourth proportional to 9,616.64, 14,426.57 and 4,422.38 is: 6,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.64 : 14,426.57 = 4,422.38 : x
  2. Step 2: Convert to fraction form
    9,616.64/14,426.57 = 4,422.38/x
  3. Step 3: Cross multiply
    9,616.64x = 14,426.57 × 4,422.38
  4. Step 4: Simplify right side
    9,616.64x = 63,799,713.56
  5. Step 5: Solve for x
    x = 63,799,713.56/9,616.64
  6. Step 6: Final answer
    x = 6,634.31

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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.