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Finding the Fourth Proportional to 7,161.70, 9,883.41 and 4,177.06

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Solution

The fourth proportional to 7,161.70, 9,883.41 and 4,177.06 is: 5,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.70 : 9,883.41 = 4,177.06 : x
  2. Step 2: Convert to fraction form
    7,161.70/9,883.41 = 4,177.06/x
  3. Step 3: Cross multiply
    7,161.70x = 9,883.41 × 4,177.06
  4. Step 4: Simplify right side
    7,161.70x = 41,283,596.57
  5. Step 5: Solve for x
    x = 41,283,596.57/7,161.70
  6. Step 6: Final answer
    x = 5,764.50

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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.