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Finding the Fourth Proportional to 9,766.92, 14,650.40 and 2,371.32

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Solution

The fourth proportional to 9,766.92, 14,650.40 and 2,371.32 is: 3,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.92 : 14,650.40 = 2,371.32 : x
  2. Step 2: Convert to fraction form
    9,766.92/14,650.40 = 2,371.32/x
  3. Step 3: Cross multiply
    9,766.92x = 14,650.40 × 2,371.32
  4. Step 4: Simplify right side
    9,766.92x = 34,740,774.67
  5. Step 5: Solve for x
    x = 34,740,774.67/9,766.92
  6. Step 6: Final answer
    x = 3,556.98

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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.