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Finding the Fourth Proportional to 7,101.26, 9,802.82 and 4,450.20

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Solution

The fourth proportional to 7,101.26, 9,802.82 and 4,450.20 is: 6,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.26 : 9,802.82 = 4,450.20 : x
  2. Step 2: Convert to fraction form
    7,101.26/9,802.82 = 4,450.20/x
  3. Step 3: Cross multiply
    7,101.26x = 9,802.82 × 4,450.20
  4. Step 4: Simplify right side
    7,101.26x = 43,624,487.31
  5. Step 5: Solve for x
    x = 43,624,487.31/7,101.26
  6. Step 6: Final answer
    x = 6,143.21

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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.