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Finding the Fourth Proportional to 9,497.80, 14,244.86 and 2,922.22

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Solution

The fourth proportional to 9,497.80, 14,244.86 and 2,922.22 is: 4,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.80 : 14,244.86 = 2,922.22 : x
  2. Step 2: Convert to fraction form
    9,497.80/14,244.86 = 2,922.22/x
  3. Step 3: Cross multiply
    9,497.80x = 14,244.86 × 2,922.22
  4. Step 4: Simplify right side
    9,497.80x = 41,626,614.79
  5. Step 5: Solve for x
    x = 41,626,614.79/9,497.80
  6. Step 6: Final answer
    x = 4,382.76

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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.