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Finding the Fourth Proportional to 8,284.94, 12,421.33 and 3,900

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Solution

The fourth proportional to 8,284.94, 12,421.33 and 3,900 is: 5,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.94 : 12,421.33 = 3,900 : x
  2. Step 2: Convert to fraction form
    8,284.94/12,421.33 = 3,900/x
  3. Step 3: Cross multiply
    8,284.94x = 12,421.33 × 3,900
  4. Step 4: Simplify right side
    8,284.94x = 48,443,187
  5. Step 5: Solve for x
    x = 48,443,187/8,284.94
  6. Step 6: Final answer
    x = 5,847.14

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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.