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Finding the Fourth Proportional to 9,660.87, 14,463.93 and 6,142.14

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Solution

The fourth proportional to 9,660.87, 14,463.93 and 6,142.14 is: 9,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.87 : 14,463.93 = 6,142.14 : x
  2. Step 2: Convert to fraction form
    9,660.87/14,463.93 = 6,142.14/x
  3. Step 3: Cross multiply
    9,660.87x = 14,463.93 × 6,142.14
  4. Step 4: Simplify right side
    9,660.87x = 88,839,483.01
  5. Step 5: Solve for x
    x = 88,839,483.01/9,660.87
  6. Step 6: Final answer
    x = 9,195.81

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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.