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Finding the Fourth Proportional to 7,024.82, 9,693.74 and 3,880.76

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Solution

The fourth proportional to 7,024.82, 9,693.74 and 3,880.76 is: 5,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.82 : 9,693.74 = 3,880.76 : x
  2. Step 2: Convert to fraction form
    7,024.82/9,693.74 = 3,880.76/x
  3. Step 3: Cross multiply
    7,024.82x = 9,693.74 × 3,880.76
  4. Step 4: Simplify right side
    7,024.82x = 37,619,078.44
  5. Step 5: Solve for x
    x = 37,619,078.44/7,024.82
  6. Step 6: Final answer
    x = 5,355.17

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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.