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Finding the Fourth Proportional to 6,549.40, 9,824.09 and 5,392.72

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Solution

The fourth proportional to 6,549.40, 9,824.09 and 5,392.72 is: 8,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.40 : 9,824.09 = 5,392.72 : x
  2. Step 2: Convert to fraction form
    6,549.40/9,824.09 = 5,392.72/x
  3. Step 3: Cross multiply
    6,549.40x = 9,824.09 × 5,392.72
  4. Step 4: Simplify right side
    6,549.40x = 52,978,566.62
  5. Step 5: Solve for x
    x = 52,978,566.62/6,549.40
  6. Step 6: Final answer
    x = 8,089.07

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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.