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Finding the Fourth Proportional to 6,549.28, 9,037.80 and 3,565.09

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Solution

The fourth proportional to 6,549.28, 9,037.80 and 3,565.09 is: 4,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.28 : 9,037.80 = 3,565.09 : x
  2. Step 2: Convert to fraction form
    6,549.28/9,037.80 = 3,565.09/x
  3. Step 3: Cross multiply
    6,549.28x = 9,037.80 × 3,565.09
  4. Step 4: Simplify right side
    6,549.28x = 32,220,570.40
  5. Step 5: Solve for x
    x = 32,220,570.40/6,549.28
  6. Step 6: Final answer
    x = 4,919.71

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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.