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Finding the Fourth Proportional to 9,481.81, 13,080.85 and 5,704.93

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Solution

The fourth proportional to 9,481.81, 13,080.85 and 5,704.93 is: 7,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.81 : 13,080.85 = 5,704.93 : x
  2. Step 2: Convert to fraction form
    9,481.81/13,080.85 = 5,704.93/x
  3. Step 3: Cross multiply
    9,481.81x = 13,080.85 × 5,704.93
  4. Step 4: Simplify right side
    9,481.81x = 74,625,333.59
  5. Step 5: Solve for x
    x = 74,625,333.59/9,481.81
  6. Step 6: Final answer
    x = 7,870.37

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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.