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Finding the Fourth Proportional to 9,811.72, 13,539.72 and 5,833.27

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Solution

The fourth proportional to 9,811.72, 13,539.72 and 5,833.27 is: 8,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.72 : 13,539.72 = 5,833.27 : x
  2. Step 2: Convert to fraction form
    9,811.72/13,539.72 = 5,833.27/x
  3. Step 3: Cross multiply
    9,811.72x = 13,539.72 × 5,833.27
  4. Step 4: Simplify right side
    9,811.72x = 78,980,842.48
  5. Step 5: Solve for x
    x = 78,980,842.48/9,811.72
  6. Step 6: Final answer
    x = 8,049.64

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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.