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Finding the Fourth Proportional to 8,263.44, 12,383.52 and 6,405.86

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Solution

The fourth proportional to 8,263.44, 12,383.52 and 6,405.86 is: 9,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.44 : 12,383.52 = 6,405.86 : x
  2. Step 2: Convert to fraction form
    8,263.44/12,383.52 = 6,405.86/x
  3. Step 3: Cross multiply
    8,263.44x = 12,383.52 × 6,405.86
  4. Step 4: Simplify right side
    8,263.44x = 79,327,095.43
  5. Step 5: Solve for x
    x = 79,327,095.43/8,263.44
  6. Step 6: Final answer
    x = 9,599.77

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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.