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Finding the Fourth Proportional to 9,023.92, 13,524.09 and 6,533.51

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Solution

The fourth proportional to 9,023.92, 13,524.09 and 6,533.51 is: 9,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.92 : 13,524.09 = 6,533.51 : x
  2. Step 2: Convert to fraction form
    9,023.92/13,524.09 = 6,533.51/x
  3. Step 3: Cross multiply
    9,023.92x = 13,524.09 × 6,533.51
  4. Step 4: Simplify right side
    9,023.92x = 88,359,779.58
  5. Step 5: Solve for x
    x = 88,359,779.58/9,023.92
  6. Step 6: Final answer
    x = 9,791.73

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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.