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Finding the Fourth Proportional to 7,202.62, 9,940.52 and 4,219.59

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Solution

The fourth proportional to 7,202.62, 9,940.52 and 4,219.59 is: 5,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.62 : 9,940.52 = 4,219.59 : x
  2. Step 2: Convert to fraction form
    7,202.62/9,940.52 = 4,219.59/x
  3. Step 3: Cross multiply
    7,202.62x = 9,940.52 × 4,219.59
  4. Step 4: Simplify right side
    7,202.62x = 41,944,966.61
  5. Step 5: Solve for x
    x = 41,944,966.61/7,202.62
  6. Step 6: Final answer
    x = 5,823.57

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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.