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Finding the Fourth Proportional to 9,023.63, 13,533.80 and 4,092.12

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Solution

The fourth proportional to 9,023.63, 13,533.80 and 4,092.12 is: 6,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.63 : 13,533.80 = 4,092.12 : x
  2. Step 2: Convert to fraction form
    9,023.63/13,533.80 = 4,092.12/x
  3. Step 3: Cross multiply
    9,023.63x = 13,533.80 × 4,092.12
  4. Step 4: Simplify right side
    9,023.63x = 55,381,913.20
  5. Step 5: Solve for x
    x = 55,381,913.20/9,023.63
  6. Step 6: Final answer
    x = 6,137.44

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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.