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Finding the Fourth Proportional to 9,811.19, 13,539.62 and 5,832.27

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Solution

The fourth proportional to 9,811.19, 13,539.62 and 5,832.27 is: 8,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.19 : 13,539.62 = 5,832.27 : x
  2. Step 2: Convert to fraction form
    9,811.19/13,539.62 = 5,832.27/x
  3. Step 3: Cross multiply
    9,811.19x = 13,539.62 × 5,832.27
  4. Step 4: Simplify right side
    9,811.19x = 78,966,734.12
  5. Step 5: Solve for x
    x = 78,966,734.12/9,811.19
  6. Step 6: Final answer
    x = 8,048.64

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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.