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Finding the Fourth Proportional to 9,776.33, 14,610.81 and 7,149.37

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Solution

The fourth proportional to 9,776.33, 14,610.81 and 7,149.37 is: 10,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.33 : 14,610.81 = 7,149.37 : x
  2. Step 2: Convert to fraction form
    9,776.33/14,610.81 = 7,149.37/x
  3. Step 3: Cross multiply
    9,776.33x = 14,610.81 × 7,149.37
  4. Step 4: Simplify right side
    9,776.33x = 104,458,086.69
  5. Step 5: Solve for x
    x = 104,458,086.69/9,776.33
  6. Step 6: Final answer
    x = 10,684.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.