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Finding the Fourth Proportional to 9,766.31, 14,650.14 and 4,834.62

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Solution

The fourth proportional to 9,766.31, 14,650.14 and 4,834.62 is: 7,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.31 : 14,650.14 = 4,834.62 : x
  2. Step 2: Convert to fraction form
    9,766.31/14,650.14 = 4,834.62/x
  3. Step 3: Cross multiply
    9,766.31x = 14,650.14 × 4,834.62
  4. Step 4: Simplify right side
    9,766.31x = 70,827,859.85
  5. Step 5: Solve for x
    x = 70,827,859.85/9,766.31
  6. Step 6: Final answer
    x = 7,252.27

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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.