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Finding the Fourth Proportional to 6,549.48, 9,041.52 and 4,464.54

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Solution

The fourth proportional to 6,549.48, 9,041.52 and 4,464.54 is: 6,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.48 : 9,041.52 = 4,464.54 : x
  2. Step 2: Convert to fraction form
    6,549.48/9,041.52 = 4,464.54/x
  3. Step 3: Cross multiply
    6,549.48x = 9,041.52 × 4,464.54
  4. Step 4: Simplify right side
    6,549.48x = 40,366,227.70
  5. Step 5: Solve for x
    x = 40,366,227.70/6,549.48
  6. Step 6: Final answer
    x = 6,163.27

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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.