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Finding the Fourth Proportional to 6,597.52, 9,896.41 and 3,085.59

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Solution

The fourth proportional to 6,597.52, 9,896.41 and 3,085.59 is: 4,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.52 : 9,896.41 = 3,085.59 : x
  2. Step 2: Convert to fraction form
    6,597.52/9,896.41 = 3,085.59/x
  3. Step 3: Cross multiply
    6,597.52x = 9,896.41 × 3,085.59
  4. Step 4: Simplify right side
    6,597.52x = 30,536,198.82
  5. Step 5: Solve for x
    x = 30,536,198.82/6,597.52
  6. Step 6: Final answer
    x = 4,628.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.