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Finding the Fourth Proportional to 9,384.57, 14,072.72 and 5,001.09

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Solution

The fourth proportional to 9,384.57, 14,072.72 and 5,001.09 is: 7,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.57 : 14,072.72 = 5,001.09 : x
  2. Step 2: Convert to fraction form
    9,384.57/14,072.72 = 5,001.09/x
  3. Step 3: Cross multiply
    9,384.57x = 14,072.72 × 5,001.09
  4. Step 4: Simplify right side
    9,384.57x = 70,378,914.26
  5. Step 5: Solve for x
    x = 70,378,914.26/9,384.57
  6. Step 6: Final answer
    x = 7,499.43

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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.