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Finding the Fourth Proportional to 9,766.11, 13,477.23 and 5,289.83

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Solution

The fourth proportional to 9,766.11, 13,477.23 and 5,289.83 is: 7,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.11 : 13,477.23 = 5,289.83 : x
  2. Step 2: Convert to fraction form
    9,766.11/13,477.23 = 5,289.83/x
  3. Step 3: Cross multiply
    9,766.11x = 13,477.23 × 5,289.83
  4. Step 4: Simplify right side
    9,766.11x = 71,292,188.18
  5. Step 5: Solve for x
    x = 71,292,188.18/9,766.11
  6. Step 6: Final answer
    x = 7,299.96

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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.