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Finding the Fourth Proportional to 7,209.95, 9,949.64 and 4,066.16

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Solution

The fourth proportional to 7,209.95, 9,949.64 and 4,066.16 is: 5,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.95 : 9,949.64 = 4,066.16 : x
  2. Step 2: Convert to fraction form
    7,209.95/9,949.64 = 4,066.16/x
  3. Step 3: Cross multiply
    7,209.95x = 9,949.64 × 4,066.16
  4. Step 4: Simplify right side
    7,209.95x = 40,456,758.10
  5. Step 5: Solve for x
    x = 40,456,758.10/7,209.95
  6. Step 6: Final answer
    x = 5,611.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.