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Finding the Fourth Proportional to 6,548.80, 9,033.76 and 4,064.32

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Solution

The fourth proportional to 6,548.80, 9,033.76 and 4,064.32 is: 5,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.80 : 9,033.76 = 4,064.32 : x
  2. Step 2: Convert to fraction form
    6,548.80/9,033.76 = 4,064.32/x
  3. Step 3: Cross multiply
    6,548.80x = 9,033.76 × 4,064.32
  4. Step 4: Simplify right side
    6,548.80x = 36,716,091.44
  5. Step 5: Solve for x
    x = 36,716,091.44/6,548.80
  6. Step 6: Final answer
    x = 5,606.54

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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.