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Finding the Fourth Proportional to 9,801.40, 13,519.09 and 6,443.14

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Solution

The fourth proportional to 9,801.40, 13,519.09 and 6,443.14 is: 8,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.40 : 13,519.09 = 6,443.14 : x
  2. Step 2: Convert to fraction form
    9,801.40/13,519.09 = 6,443.14/x
  3. Step 3: Cross multiply
    9,801.40x = 13,519.09 × 6,443.14
  4. Step 4: Simplify right side
    9,801.40x = 87,105,389.54
  5. Step 5: Solve for x
    x = 87,105,389.54/9,801.40
  6. Step 6: Final answer
    x = 8,887.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.