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Finding the Fourth Proportional to 9,361.12, 12,917.76 and 5,169.36

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Solution

The fourth proportional to 9,361.12, 12,917.76 and 5,169.36 is: 7,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.12 : 12,917.76 = 5,169.36 : x
  2. Step 2: Convert to fraction form
    9,361.12/12,917.76 = 5,169.36/x
  3. Step 3: Cross multiply
    9,361.12x = 12,917.76 × 5,169.36
  4. Step 4: Simplify right side
    9,361.12x = 66,776,551.83
  5. Step 5: Solve for x
    x = 66,776,551.83/9,361.12
  6. Step 6: Final answer
    x = 7,133.39

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Why These Related Problems?

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