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Finding the Fourth Proportional to 7,209.02, 9,948.84 and 4,023.02

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Solution

The fourth proportional to 7,209.02, 9,948.84 and 4,023.02 is: 5,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.02 : 9,948.84 = 4,023.02 : x
  2. Step 2: Convert to fraction form
    7,209.02/9,948.84 = 4,023.02/x
  3. Step 3: Cross multiply
    7,209.02x = 9,948.84 × 4,023.02
  4. Step 4: Simplify right side
    7,209.02x = 40,024,382.30
  5. Step 5: Solve for x
    x = 40,024,382.30/7,209.02
  6. Step 6: Final answer
    x = 5,551.99

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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.