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Finding the Fourth Proportional to 9,161.44, 12,643.46 and 5,128.66

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Solution

The fourth proportional to 9,161.44, 12,643.46 and 5,128.66 is: 7,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.44 : 12,643.46 = 5,128.66 : x
  2. Step 2: Convert to fraction form
    9,161.44/12,643.46 = 5,128.66/x
  3. Step 3: Cross multiply
    9,161.44x = 12,643.46 × 5,128.66
  4. Step 4: Simplify right side
    9,161.44x = 64,844,007.56
  5. Step 5: Solve for x
    x = 64,844,007.56/9,161.44
  6. Step 6: Final answer
    x = 7,077.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.