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Finding the Fourth Proportional to 6,548.91, 9,037.56 and 3,564.78

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Solution

The fourth proportional to 6,548.91, 9,037.56 and 3,564.78 is: 4,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.91 : 9,037.56 = 3,564.78 : x
  2. Step 2: Convert to fraction form
    6,548.91/9,037.56 = 3,564.78/x
  3. Step 3: Cross multiply
    6,548.91x = 9,037.56 × 3,564.78
  4. Step 4: Simplify right side
    6,548.91x = 32,216,913.14
  5. Step 5: Solve for x
    x = 32,216,913.14/6,548.91
  6. Step 6: Final answer
    x = 4,919.43

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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.