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Finding the Fourth Proportional to 9,851.93, 14,781.39 and 6,149.87

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Solution

The fourth proportional to 9,851.93, 14,781.39 and 6,149.87 is: 9,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.93 : 14,781.39 = 6,149.87 : x
  2. Step 2: Convert to fraction form
    9,851.93/14,781.39 = 6,149.87/x
  3. Step 3: Cross multiply
    9,851.93x = 14,781.39 × 6,149.87
  4. Step 4: Simplify right side
    9,851.93x = 90,903,668.53
  5. Step 5: Solve for x
    x = 90,903,668.53/9,851.93
  6. Step 6: Final answer
    x = 9,226.99

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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.