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Finding the Fourth Proportional to 9,542.17, 13,168.44 and 5,293.30

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Solution

The fourth proportional to 9,542.17, 13,168.44 and 5,293.30 is: 7,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.17 : 13,168.44 = 5,293.30 : x
  2. Step 2: Convert to fraction form
    9,542.17/13,168.44 = 5,293.30/x
  3. Step 3: Cross multiply
    9,542.17x = 13,168.44 × 5,293.30
  4. Step 4: Simplify right side
    9,542.17x = 69,704,503.45
  5. Step 5: Solve for x
    x = 69,704,503.45/9,542.17
  6. Step 6: Final answer
    x = 7,304.89

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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.