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Finding the Fourth Proportional to 8,529.64, 12,775.26 and 6,342.12

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Solution

The fourth proportional to 8,529.64, 12,775.26 and 6,342.12 is: 9,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.64 : 12,775.26 = 6,342.12 : x
  2. Step 2: Convert to fraction form
    8,529.64/12,775.26 = 6,342.12/x
  3. Step 3: Cross multiply
    8,529.64x = 12,775.26 × 6,342.12
  4. Step 4: Simplify right side
    8,529.64x = 81,022,231.95
  5. Step 5: Solve for x
    x = 81,022,231.95/8,529.64
  6. Step 6: Final answer
    x = 9,498.90

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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.