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Finding the Fourth Proportional to 9,842.87, 13,583.24 and 5,864.12

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Solution

The fourth proportional to 9,842.87, 13,583.24 and 5,864.12 is: 8,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.87 : 13,583.24 = 5,864.12 : x
  2. Step 2: Convert to fraction form
    9,842.87/13,583.24 = 5,864.12/x
  3. Step 3: Cross multiply
    9,842.87x = 13,583.24 × 5,864.12
  4. Step 4: Simplify right side
    9,842.87x = 79,653,796.23
  5. Step 5: Solve for x
    x = 79,653,796.23/9,842.87
  6. Step 6: Final answer
    x = 8,092.54

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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.