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Finding the Fourth Proportional to 6,561.48, 9,054.46 and 3,728.12

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Solution

The fourth proportional to 6,561.48, 9,054.46 and 3,728.12 is: 5,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.48 : 9,054.46 = 3,728.12 : x
  2. Step 2: Convert to fraction form
    6,561.48/9,054.46 = 3,728.12/x
  3. Step 3: Cross multiply
    6,561.48x = 9,054.46 × 3,728.12
  4. Step 4: Simplify right side
    6,561.48x = 33,756,113.42
  5. Step 5: Solve for x
    x = 33,756,113.42/6,561.48
  6. Step 6: Final answer
    x = 5,144.59

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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.