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Finding the Fourth Proportional to 6,549.93, 9,037.98 and 3,896.82

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Solution

The fourth proportional to 6,549.93, 9,037.98 and 3,896.82 is: 5,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.93 : 9,037.98 = 3,896.82 : x
  2. Step 2: Convert to fraction form
    6,549.93/9,037.98 = 3,896.82/x
  3. Step 3: Cross multiply
    6,549.93x = 9,037.98 × 3,896.82
  4. Step 4: Simplify right side
    6,549.93x = 35,219,381.22
  5. Step 5: Solve for x
    x = 35,219,381.22/6,549.93
  6. Step 6: Final answer
    x = 5,377.06

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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.