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Finding the Fourth Proportional to 9,057.28, 13,640.32 and 7,973.60

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Solution

The fourth proportional to 9,057.28, 13,640.32 and 7,973.60 is: 12,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.28 : 13,640.32 = 7,973.60 : x
  2. Step 2: Convert to fraction form
    9,057.28/13,640.32 = 7,973.60/x
  3. Step 3: Cross multiply
    9,057.28x = 13,640.32 × 7,973.60
  4. Step 4: Simplify right side
    9,057.28x = 108,762,455.55
  5. Step 5: Solve for x
    x = 108,762,455.55/9,057.28
  6. Step 6: Final answer
    x = 12,008.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.