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Finding the Fourth Proportional to 7,162.37, 9,883.53 and 4,177.83

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Solution

The fourth proportional to 7,162.37, 9,883.53 and 4,177.83 is: 5,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.37 : 9,883.53 = 4,177.83 : x
  2. Step 2: Convert to fraction form
    7,162.37/9,883.53 = 4,177.83/x
  3. Step 3: Cross multiply
    7,162.37x = 9,883.53 × 4,177.83
  4. Step 4: Simplify right side
    7,162.37x = 41,291,708.14
  5. Step 5: Solve for x
    x = 41,291,708.14/7,162.37
  6. Step 6: Final answer
    x = 5,765.09

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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.