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Finding the Fourth Proportional to 9,811.06, 13,539.76 and 6,034.44

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Solution

The fourth proportional to 9,811.06, 13,539.76 and 6,034.44 is: 8,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.06 : 13,539.76 = 6,034.44 : x
  2. Step 2: Convert to fraction form
    9,811.06/13,539.76 = 6,034.44/x
  3. Step 3: Cross multiply
    9,811.06x = 13,539.76 × 6,034.44
  4. Step 4: Simplify right side
    9,811.06x = 81,704,869.33
  5. Step 5: Solve for x
    x = 81,704,869.33/9,811.06
  6. Step 6: Final answer
    x = 8,327.83

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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.