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Finding the Fourth Proportional to 8,298.34, 12,443.19 and 3,914.62

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Solution

The fourth proportional to 8,298.34, 12,443.19 and 3,914.62 is: 5,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.34 : 12,443.19 = 3,914.62 : x
  2. Step 2: Convert to fraction form
    8,298.34/12,443.19 = 3,914.62/x
  3. Step 3: Cross multiply
    8,298.34x = 12,443.19 × 3,914.62
  4. Step 4: Simplify right side
    8,298.34x = 48,710,360.44
  5. Step 5: Solve for x
    x = 48,710,360.44/8,298.34
  6. Step 6: Final answer
    x = 5,869.89

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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.