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Finding the Fourth Proportional to 9,542.34, 13,168.53 and 5,350.50

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Solution

The fourth proportional to 9,542.34, 13,168.53 and 5,350.50 is: 7,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.34 : 13,168.53 = 5,350.50 : x
  2. Step 2: Convert to fraction form
    9,542.34/13,168.53 = 5,350.50/x
  3. Step 3: Cross multiply
    9,542.34x = 13,168.53 × 5,350.50
  4. Step 4: Simplify right side
    9,542.34x = 70,458,219.77
  5. Step 5: Solve for x
    x = 70,458,219.77/9,542.34
  6. Step 6: Final answer
    x = 7,383.75

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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.