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Finding the Fourth Proportional to 7,024.37, 9,694.24 and 3,881.16

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Solution

The fourth proportional to 7,024.37, 9,694.24 and 3,881.16 is: 5,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.37 : 9,694.24 = 3,881.16 : x
  2. Step 2: Convert to fraction form
    7,024.37/9,694.24 = 3,881.16/x
  3. Step 3: Cross multiply
    7,024.37x = 9,694.24 × 3,881.16
  4. Step 4: Simplify right side
    7,024.37x = 37,624,886.82
  5. Step 5: Solve for x
    x = 37,624,886.82/7,024.37
  6. Step 6: Final answer
    x = 5,356.34

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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.