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Finding the Fourth Proportional to 6,567.25, 9,062.81 and 3,772.75

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Solution

The fourth proportional to 6,567.25, 9,062.81 and 3,772.75 is: 5,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.25 : 9,062.81 = 3,772.75 : x
  2. Step 2: Convert to fraction form
    6,567.25/9,062.81 = 3,772.75/x
  3. Step 3: Cross multiply
    6,567.25x = 9,062.81 × 3,772.75
  4. Step 4: Simplify right side
    6,567.25x = 34,191,716.43
  5. Step 5: Solve for x
    x = 34,191,716.43/6,567.25
  6. Step 6: Final answer
    x = 5,206.40

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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.