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Finding the Fourth Proportional to 6,944.24, 9,585.33 and 5,530.52

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Solution

The fourth proportional to 6,944.24, 9,585.33 and 5,530.52 is: 7,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.24 : 9,585.33 = 5,530.52 : x
  2. Step 2: Convert to fraction form
    6,944.24/9,585.33 = 5,530.52/x
  3. Step 3: Cross multiply
    6,944.24x = 9,585.33 × 5,530.52
  4. Step 4: Simplify right side
    6,944.24x = 53,011,859.27
  5. Step 5: Solve for x
    x = 53,011,859.27/6,944.24
  6. Step 6: Final answer
    x = 7,633.93

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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.