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Finding the Fourth Proportional to 9,384.93, 14,067.59 and 3,139.80

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Solution

The fourth proportional to 9,384.93, 14,067.59 and 3,139.80 is: 4,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.93 : 14,067.59 = 3,139.80 : x
  2. Step 2: Convert to fraction form
    9,384.93/14,067.59 = 3,139.80/x
  3. Step 3: Cross multiply
    9,384.93x = 14,067.59 × 3,139.80
  4. Step 4: Simplify right side
    9,384.93x = 44,169,478.16
  5. Step 5: Solve for x
    x = 44,169,478.16/9,384.93
  6. Step 6: Final answer
    x = 4,706.43

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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.