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Finding the Fourth Proportional to 9,745.29, 13,447.95 and 5,766.77

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Solution

The fourth proportional to 9,745.29, 13,447.95 and 5,766.77 is: 7,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.29 : 13,447.95 = 5,766.77 : x
  2. Step 2: Convert to fraction form
    9,745.29/13,447.95 = 5,766.77/x
  3. Step 3: Cross multiply
    9,745.29x = 13,447.95 × 5,766.77
  4. Step 4: Simplify right side
    9,745.29x = 77,551,234.62
  5. Step 5: Solve for x
    x = 77,551,234.62/9,745.29
  6. Step 6: Final answer
    x = 7,957.82

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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.