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Finding the Fourth Proportional to 8,836.32, 12,204.81 and 6,442.50

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Solution

The fourth proportional to 8,836.32, 12,204.81 and 6,442.50 is: 8,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.32 : 12,204.81 = 6,442.50 : x
  2. Step 2: Convert to fraction form
    8,836.32/12,204.81 = 6,442.50/x
  3. Step 3: Cross multiply
    8,836.32x = 12,204.81 × 6,442.50
  4. Step 4: Simplify right side
    8,836.32x = 78,629,488.43
  5. Step 5: Solve for x
    x = 78,629,488.43/8,836.32
  6. Step 6: Final answer
    x = 8,898.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.