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Finding the Fourth Proportional to 7,102.26, 9,801.74 and 4,270.09

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Solution

The fourth proportional to 7,102.26, 9,801.74 and 4,270.09 is: 5,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.26 : 9,801.74 = 4,270.09 : x
  2. Step 2: Convert to fraction form
    7,102.26/9,801.74 = 4,270.09/x
  3. Step 3: Cross multiply
    7,102.26x = 9,801.74 × 4,270.09
  4. Step 4: Simplify right side
    7,102.26x = 41,854,311.96
  5. Step 5: Solve for x
    x = 41,854,311.96/7,102.26
  6. Step 6: Final answer
    x = 5,893.10

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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.