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Finding the Fourth Proportional to 7,209.63, 9,949.64 and 4,065.75

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Solution

The fourth proportional to 7,209.63, 9,949.64 and 4,065.75 is: 5,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.63 : 9,949.64 = 4,065.75 : x
  2. Step 2: Convert to fraction form
    7,209.63/9,949.64 = 4,065.75/x
  3. Step 3: Cross multiply
    7,209.63x = 9,949.64 × 4,065.75
  4. Step 4: Simplify right side
    7,209.63x = 40,452,728.50
  5. Step 5: Solve for x
    x = 40,452,728.50/7,209.63
  6. Step 6: Final answer
    x = 5,610.93

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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.