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Finding the Fourth Proportional to 9,542.88, 13,168.80 and 5,350.32

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Solution

The fourth proportional to 9,542.88, 13,168.80 and 5,350.32 is: 7,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.88 : 13,168.80 = 5,350.32 : x
  2. Step 2: Convert to fraction form
    9,542.88/13,168.80 = 5,350.32/x
  3. Step 3: Cross multiply
    9,542.88x = 13,168.80 × 5,350.32
  4. Step 4: Simplify right side
    9,542.88x = 70,457,294.02
  5. Step 5: Solve for x
    x = 70,457,294.02/9,542.88
  6. Step 6: Final answer
    x = 7,383.23

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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.