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Finding the Fourth Proportional to 6,567.67, 9,063.36 and 3,583.50

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Solution

The fourth proportional to 6,567.67, 9,063.36 and 3,583.50 is: 4,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.67 : 9,063.36 = 3,583.50 : x
  2. Step 2: Convert to fraction form
    6,567.67/9,063.36 = 3,583.50/x
  3. Step 3: Cross multiply
    6,567.67x = 9,063.36 × 3,583.50
  4. Step 4: Simplify right side
    6,567.67x = 32,478,487.33
  5. Step 5: Solve for x
    x = 32,478,487.33/6,567.67
  6. Step 6: Final answer
    x = 4,945.21

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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.