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Finding the Fourth Proportional to 7,202.59, 9,940.94 and 4,514.20

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Solution

The fourth proportional to 7,202.59, 9,940.94 and 4,514.20 is: 6,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.59 : 9,940.94 = 4,514.20 : x
  2. Step 2: Convert to fraction form
    7,202.59/9,940.94 = 4,514.20/x
  3. Step 3: Cross multiply
    7,202.59x = 9,940.94 × 4,514.20
  4. Step 4: Simplify right side
    7,202.59x = 44,875,391.35
  5. Step 5: Solve for x
    x = 44,875,391.35/7,202.59
  6. Step 6: Final answer
    x = 6,230.45

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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.