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Finding the Fourth Proportional to 7,028.05, 9,702.09 and 4,513.91

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Solution

The fourth proportional to 7,028.05, 9,702.09 and 4,513.91 is: 6,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.05 : 9,702.09 = 4,513.91 : x
  2. Step 2: Convert to fraction form
    7,028.05/9,702.09 = 4,513.91/x
  3. Step 3: Cross multiply
    7,028.05x = 9,702.09 × 4,513.91
  4. Step 4: Simplify right side
    7,028.05x = 43,794,385.33
  5. Step 5: Solve for x
    x = 43,794,385.33/7,028.05
  6. Step 6: Final answer
    x = 6,231.37

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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.