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Finding the Fourth Proportional to 7,209.50, 9,949.11 and 4,415

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Solution

The fourth proportional to 7,209.50, 9,949.11 and 4,415 is: 6,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.50 : 9,949.11 = 4,415 : x
  2. Step 2: Convert to fraction form
    7,209.50/9,949.11 = 4,415/x
  3. Step 3: Cross multiply
    7,209.50x = 9,949.11 × 4,415
  4. Step 4: Simplify right side
    7,209.50x = 43,925,320.65
  5. Step 5: Solve for x
    x = 43,925,320.65/7,209.50
  6. Step 6: Final answer
    x = 6,092.70

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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.