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Finding the Fourth Proportional to 9,766.96, 14,650.44 and 2,371.42

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Solution

The fourth proportional to 9,766.96, 14,650.44 and 2,371.42 is: 3,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.96 : 14,650.44 = 2,371.42 : x
  2. Step 2: Convert to fraction form
    9,766.96/14,650.44 = 2,371.42/x
  3. Step 3: Cross multiply
    9,766.96x = 14,650.44 × 2,371.42
  4. Step 4: Simplify right side
    9,766.96x = 34,742,355.85
  5. Step 5: Solve for x
    x = 34,742,355.85/9,766.96
  6. Step 6: Final answer
    x = 3,557.13

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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.