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Finding the Fourth Proportional to 7,207.57, 9,949.80 and 4,222.99

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Solution

The fourth proportional to 7,207.57, 9,949.80 and 4,222.99 is: 5,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.57 : 9,949.80 = 4,222.99 : x
  2. Step 2: Convert to fraction form
    7,207.57/9,949.80 = 4,222.99/x
  3. Step 3: Cross multiply
    7,207.57x = 9,949.80 × 4,222.99
  4. Step 4: Simplify right side
    7,207.57x = 42,017,905.90
  5. Step 5: Solve for x
    x = 42,017,905.90/7,207.57
  6. Step 6: Final answer
    x = 5,829.69

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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.