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Finding the Fourth Proportional to 7,225.23, 9,969.25 and 4,200.90

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Solution

The fourth proportional to 7,225.23, 9,969.25 and 4,200.90 is: 5,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.23 : 9,969.25 = 4,200.90 : x
  2. Step 2: Convert to fraction form
    7,225.23/9,969.25 = 4,200.90/x
  3. Step 3: Cross multiply
    7,225.23x = 9,969.25 × 4,200.90
  4. Step 4: Simplify right side
    7,225.23x = 41,879,822.33
  5. Step 5: Solve for x
    x = 41,879,822.33/7,225.23
  6. Step 6: Final answer
    x = 5,796.33

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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.