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Finding the Fourth Proportional to 9,995.74, 14,993.64 and 7,806.31

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Solution

The fourth proportional to 9,995.74, 14,993.64 and 7,806.31 is: 11,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.74 : 14,993.64 = 7,806.31 : x
  2. Step 2: Convert to fraction form
    9,995.74/14,993.64 = 7,806.31/x
  3. Step 3: Cross multiply
    9,995.74x = 14,993.64 × 7,806.31
  4. Step 4: Simplify right side
    9,995.74x = 117,044,964.38
  5. Step 5: Solve for x
    x = 117,044,964.38/9,995.74
  6. Step 6: Final answer
    x = 11,709.49

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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.