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Finding the Fourth Proportional to 9,077.74, 13,610.79 and 3,816.16

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Solution

The fourth proportional to 9,077.74, 13,610.79 and 3,816.16 is: 5,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.74 : 13,610.79 = 3,816.16 : x
  2. Step 2: Convert to fraction form
    9,077.74/13,610.79 = 3,816.16/x
  3. Step 3: Cross multiply
    9,077.74x = 13,610.79 × 3,816.16
  4. Step 4: Simplify right side
    9,077.74x = 51,940,952.37
  5. Step 5: Solve for x
    x = 51,940,952.37/9,077.74
  6. Step 6: Final answer
    x = 5,721.79

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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.