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Finding the Fourth Proportional to 6,548.94, 9,037.73 and 3,564.97

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Solution

The fourth proportional to 6,548.94, 9,037.73 and 3,564.97 is: 4,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.94 : 9,037.73 = 3,564.97 : x
  2. Step 2: Convert to fraction form
    6,548.94/9,037.73 = 3,564.97/x
  3. Step 3: Cross multiply
    6,548.94x = 9,037.73 × 3,564.97
  4. Step 4: Simplify right side
    6,548.94x = 32,219,191.13
  5. Step 5: Solve for x
    x = 32,219,191.13/6,548.94
  6. Step 6: Final answer
    x = 4,919.76

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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.