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Finding the Fourth Proportional to 9,776.25, 14,661.33 and 3,200.97

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Solution

The fourth proportional to 9,776.25, 14,661.33 and 3,200.97 is: 4,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.25 : 14,661.33 = 3,200.97 : x
  2. Step 2: Convert to fraction form
    9,776.25/14,661.33 = 3,200.97/x
  3. Step 3: Cross multiply
    9,776.25x = 14,661.33 × 3,200.97
  4. Step 4: Simplify right side
    9,776.25x = 46,930,477.49
  5. Step 5: Solve for x
    x = 46,930,477.49/9,776.25
  6. Step 6: Final answer
    x = 4,800.46

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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.