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Finding the Fourth Proportional to 6,549.40, 9,049.68 and 5,233.96

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Solution

The fourth proportional to 6,549.40, 9,049.68 and 5,233.96 is: 7,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.40 : 9,049.68 = 5,233.96 : x
  2. Step 2: Convert to fraction form
    6,549.40/9,049.68 = 5,233.96/x
  3. Step 3: Cross multiply
    6,549.40x = 9,049.68 × 5,233.96
  4. Step 4: Simplify right side
    6,549.40x = 47,365,663.13
  5. Step 5: Solve for x
    x = 47,365,663.13/6,549.40
  6. Step 6: Final answer
    x = 7,232.06

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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.