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Finding the Fourth Proportional to 9,837.92, 13,574.40 and 5,644.64

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Solution

The fourth proportional to 9,837.92, 13,574.40 and 5,644.64 is: 7,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.92 : 13,574.40 = 5,644.64 : x
  2. Step 2: Convert to fraction form
    9,837.92/13,574.40 = 5,644.64/x
  3. Step 3: Cross multiply
    9,837.92x = 13,574.40 × 5,644.64
  4. Step 4: Simplify right side
    9,837.92x = 76,622,601.22
  5. Step 5: Solve for x
    x = 76,622,601.22/9,837.92
  6. Step 6: Final answer
    x = 7,788.50

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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.