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Finding the Fourth Proportional to 7,224.36, 9,962.82 and 6,162.54

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Solution

The fourth proportional to 7,224.36, 9,962.82 and 6,162.54 is: 8,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.36 : 9,962.82 = 6,162.54 : x
  2. Step 2: Convert to fraction form
    7,224.36/9,962.82 = 6,162.54/x
  3. Step 3: Cross multiply
    7,224.36x = 9,962.82 × 6,162.54
  4. Step 4: Simplify right side
    7,224.36x = 61,396,276.76
  5. Step 5: Solve for x
    x = 61,396,276.76/7,224.36
  6. Step 6: Final answer
    x = 8,498.51

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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.