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Finding the Fourth Proportional to 9,983.26, 13,775.63 and 6,207.04

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Solution

The fourth proportional to 9,983.26, 13,775.63 and 6,207.04 is: 8,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.26 : 13,775.63 = 6,207.04 : x
  2. Step 2: Convert to fraction form
    9,983.26/13,775.63 = 6,207.04/x
  3. Step 3: Cross multiply
    9,983.26x = 13,775.63 × 6,207.04
  4. Step 4: Simplify right side
    9,983.26x = 85,505,886.44
  5. Step 5: Solve for x
    x = 85,505,886.44/9,983.26
  6. Step 6: Final answer
    x = 8,564.93

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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.