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Finding the Fourth Proportional to 7,024.54, 9,693.96 and 3,880.84

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Solution

The fourth proportional to 7,024.54, 9,693.96 and 3,880.84 is: 5,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.54 : 9,693.96 = 3,880.84 : x
  2. Step 2: Convert to fraction form
    7,024.54/9,693.96 = 3,880.84/x
  3. Step 3: Cross multiply
    7,024.54x = 9,693.96 × 3,880.84
  4. Step 4: Simplify right side
    7,024.54x = 37,620,707.73
  5. Step 5: Solve for x
    x = 37,620,707.73/7,024.54
  6. Step 6: Final answer
    x = 5,355.61

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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.