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Finding the Fourth Proportional to 6,567.64, 9,063.48 and 3,583.54

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Solution

The fourth proportional to 6,567.64, 9,063.48 and 3,583.54 is: 4,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.64 : 9,063.48 = 3,583.54 : x
  2. Step 2: Convert to fraction form
    6,567.64/9,063.48 = 3,583.54/x
  3. Step 3: Cross multiply
    6,567.64x = 9,063.48 × 3,583.54
  4. Step 4: Simplify right side
    6,567.64x = 32,479,343.12
  5. Step 5: Solve for x
    x = 32,479,343.12/6,567.64
  6. Step 6: Final answer
    x = 4,945.36

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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.