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Finding the Fourth Proportional to 9,131.82, 13,683.80 and 5,612.64

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Solution

The fourth proportional to 9,131.82, 13,683.80 and 5,612.64 is: 8,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.82 : 13,683.80 = 5,612.64 : x
  2. Step 2: Convert to fraction form
    9,131.82/13,683.80 = 5,612.64/x
  3. Step 3: Cross multiply
    9,131.82x = 13,683.80 × 5,612.64
  4. Step 4: Simplify right side
    9,131.82x = 76,802,243.23
  5. Step 5: Solve for x
    x = 76,802,243.23/9,131.82
  6. Step 6: Final answer
    x = 8,410.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.