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Finding the Fourth Proportional to 9,772.24, 14,658.12 and 2,846.80

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Solution

The fourth proportional to 9,772.24, 14,658.12 and 2,846.80 is: 4,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.24 : 14,658.12 = 2,846.80 : x
  2. Step 2: Convert to fraction form
    9,772.24/14,658.12 = 2,846.80/x
  3. Step 3: Cross multiply
    9,772.24x = 14,658.12 × 2,846.80
  4. Step 4: Simplify right side
    9,772.24x = 41,728,736.02
  5. Step 5: Solve for x
    x = 41,728,736.02/9,772.24
  6. Step 6: Final answer
    x = 4,270.13

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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.