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Finding the Fourth Proportional to 6,549, 9,033.84 and 4,032.24

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Solution

The fourth proportional to 6,549, 9,033.84 and 4,032.24 is: 5,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549 : 9,033.84 = 4,032.24 : x
  2. Step 2: Convert to fraction form
    6,549/9,033.84 = 4,032.24/x
  3. Step 3: Cross multiply
    6,549x = 9,033.84 × 4,032.24
  4. Step 4: Simplify right side
    6,549x = 36,426,611.00
  5. Step 5: Solve for x
    x = 36,426,611.00/6,549
  6. Step 6: Final answer
    x = 5,562.16

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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.