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Finding the Fourth Proportional to 9,766.12, 13,477.17 and 5,289.86

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Solution

The fourth proportional to 9,766.12, 13,477.17 and 5,289.86 is: 7,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.12 : 13,477.17 = 5,289.86 : x
  2. Step 2: Convert to fraction form
    9,766.12/13,477.17 = 5,289.86/x
  3. Step 3: Cross multiply
    9,766.12x = 13,477.17 × 5,289.86
  4. Step 4: Simplify right side
    9,766.12x = 71,292,342.50
  5. Step 5: Solve for x
    x = 71,292,342.50/9,766.12
  6. Step 6: Final answer
    x = 7,299.97

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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.