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Finding the Fourth Proportional to 7,125.21, 9,823.62 and 5,844.37

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Solution

The fourth proportional to 7,125.21, 9,823.62 and 5,844.37 is: 8,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.21 : 9,823.62 = 5,844.37 : x
  2. Step 2: Convert to fraction form
    7,125.21/9,823.62 = 5,844.37/x
  3. Step 3: Cross multiply
    7,125.21x = 9,823.62 × 5,844.37
  4. Step 4: Simplify right side
    7,125.21x = 57,412,870.02
  5. Step 5: Solve for x
    x = 57,412,870.02/7,125.21
  6. Step 6: Final answer
    x = 8,057.71

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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.