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Finding the Fourth Proportional to 7,024.98, 9,694.44 and 3,881.16

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Solution

The fourth proportional to 7,024.98, 9,694.44 and 3,881.16 is: 5,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.98 : 9,694.44 = 3,881.16 : x
  2. Step 2: Convert to fraction form
    7,024.98/9,694.44 = 3,881.16/x
  3. Step 3: Cross multiply
    7,024.98x = 9,694.44 × 3,881.16
  4. Step 4: Simplify right side
    7,024.98x = 37,625,672.75
  5. Step 5: Solve for x
    x = 37,625,672.75/7,024.98
  6. Step 6: Final answer
    x = 5,355.98

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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.