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Finding the Fourth Proportional to 9,766.41, 13,467.55 and 8,354.77

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Solution

The fourth proportional to 9,766.41, 13,467.55 and 8,354.77 is: 11,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.41 : 13,467.55 = 8,354.77 : x
  2. Step 2: Convert to fraction form
    9,766.41/13,467.55 = 8,354.77/x
  3. Step 3: Cross multiply
    9,766.41x = 13,467.55 × 8,354.77
  4. Step 4: Simplify right side
    9,766.41x = 112,518,282.71
  5. Step 5: Solve for x
    x = 112,518,282.71/9,766.41
  6. Step 6: Final answer
    x = 11,520.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.