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Finding the Fourth Proportional to 9,685.71, 14,518.02 and 4,067.01

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Solution

The fourth proportional to 9,685.71, 14,518.02 and 4,067.01 is: 6,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.71 : 14,518.02 = 4,067.01 : x
  2. Step 2: Convert to fraction form
    9,685.71/14,518.02 = 4,067.01/x
  3. Step 3: Cross multiply
    9,685.71x = 14,518.02 × 4,067.01
  4. Step 4: Simplify right side
    9,685.71x = 59,044,932.52
  5. Step 5: Solve for x
    x = 59,044,932.52/9,685.71
  6. Step 6: Final answer
    x = 6,096.09

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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.