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Finding the Fourth Proportional to 9,772.25, 14,655.33 and 3,196.97

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Solution

The fourth proportional to 9,772.25, 14,655.33 and 3,196.97 is: 4,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.25 : 14,655.33 = 3,196.97 : x
  2. Step 2: Convert to fraction form
    9,772.25/14,655.33 = 3,196.97/x
  3. Step 3: Cross multiply
    9,772.25x = 14,655.33 × 3,196.97
  4. Step 4: Simplify right side
    9,772.25x = 46,852,632.03
  5. Step 5: Solve for x
    x = 46,852,632.03/9,772.25
  6. Step 6: Final answer
    x = 4,794.46

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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.