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Finding the Fourth Proportional to 6,567.64, 9,063.32 and 3,583.45

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Solution

The fourth proportional to 6,567.64, 9,063.32 and 3,583.45 is: 4,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.64 : 9,063.32 = 3,583.45 : x
  2. Step 2: Convert to fraction form
    6,567.64/9,063.32 = 3,583.45/x
  3. Step 3: Cross multiply
    6,567.64x = 9,063.32 × 3,583.45
  4. Step 4: Simplify right side
    6,567.64x = 32,477,896.48
  5. Step 5: Solve for x
    x = 32,477,896.48/6,567.64
  6. Step 6: Final answer
    x = 4,945.14

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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.