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Finding the Fourth Proportional to 9,789.68, 13,509.12 and 5,597.92

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Solution

The fourth proportional to 9,789.68, 13,509.12 and 5,597.92 is: 7,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.68 : 13,509.12 = 5,597.92 : x
  2. Step 2: Convert to fraction form
    9,789.68/13,509.12 = 5,597.92/x
  3. Step 3: Cross multiply
    9,789.68x = 13,509.12 × 5,597.92
  4. Step 4: Simplify right side
    9,789.68x = 75,622,973.03
  5. Step 5: Solve for x
    x = 75,622,973.03/9,789.68
  6. Step 6: Final answer
    x = 7,724.76

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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.