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Finding the Fourth Proportional to 6,549.42, 9,825.84 and 3,264.06

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Solution

The fourth proportional to 6,549.42, 9,825.84 and 3,264.06 is: 4,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.42 : 9,825.84 = 3,264.06 : x
  2. Step 2: Convert to fraction form
    6,549.42/9,825.84 = 3,264.06/x
  3. Step 3: Cross multiply
    6,549.42x = 9,825.84 × 3,264.06
  4. Step 4: Simplify right side
    6,549.42x = 32,072,131.31
  5. Step 5: Solve for x
    x = 32,072,131.31/6,549.42
  6. Step 6: Final answer
    x = 4,896.94

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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.