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Finding the Fourth Proportional to 9,132.44, 13,688.83 and 3,866.22

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Solution

The fourth proportional to 9,132.44, 13,688.83 and 3,866.22 is: 5,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.44 : 13,688.83 = 3,866.22 : x
  2. Step 2: Convert to fraction form
    9,132.44/13,688.83 = 3,866.22/x
  3. Step 3: Cross multiply
    9,132.44x = 13,688.83 × 3,866.22
  4. Step 4: Simplify right side
    9,132.44x = 52,924,028.32
  5. Step 5: Solve for x
    x = 52,924,028.32/9,132.44
  6. Step 6: Final answer
    x = 5,795.17

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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.