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Finding the Fourth Proportional to 6,614.99, 9,922.47 and 5,155.23

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Solution

The fourth proportional to 6,614.99, 9,922.47 and 5,155.23 is: 7,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.99 : 9,922.47 = 5,155.23 : x
  2. Step 2: Convert to fraction form
    6,614.99/9,922.47 = 5,155.23/x
  3. Step 3: Cross multiply
    6,614.99x = 9,922.47 × 5,155.23
  4. Step 4: Simplify right side
    6,614.99x = 51,152,615.02
  5. Step 5: Solve for x
    x = 51,152,615.02/6,614.99
  6. Step 6: Final answer
    x = 7,732.84

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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.