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Finding the Fourth Proportional to 9,023.68, 13,533.87 and 4,092.13

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Solution

The fourth proportional to 9,023.68, 13,533.87 and 4,092.13 is: 6,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.68 : 13,533.87 = 4,092.13 : x
  2. Step 2: Convert to fraction form
    9,023.68/13,533.87 = 4,092.13/x
  3. Step 3: Cross multiply
    9,023.68x = 13,533.87 × 4,092.13
  4. Step 4: Simplify right side
    9,023.68x = 55,382,355.44
  5. Step 5: Solve for x
    x = 55,382,355.44/9,023.68
  6. Step 6: Final answer
    x = 6,137.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.