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Finding the Fourth Proportional to 6,662.14, 9,971.25 and 5,933.14

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Solution

The fourth proportional to 6,662.14, 9,971.25 and 5,933.14 is: 8,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.14 : 9,971.25 = 5,933.14 : x
  2. Step 2: Convert to fraction form
    6,662.14/9,971.25 = 5,933.14/x
  3. Step 3: Cross multiply
    6,662.14x = 9,971.25 × 5,933.14
  4. Step 4: Simplify right side
    6,662.14x = 59,160,822.23
  5. Step 5: Solve for x
    x = 59,160,822.23/6,662.14
  6. Step 6: Final answer
    x = 8,880.15

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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.