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Finding the Fourth Proportional to 9,247.80, 13,800.49 and 7,390.20

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Solution

The fourth proportional to 9,247.80, 13,800.49 and 7,390.20 is: 11,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.80 : 13,800.49 = 7,390.20 : x
  2. Step 2: Convert to fraction form
    9,247.80/13,800.49 = 7,390.20/x
  3. Step 3: Cross multiply
    9,247.80x = 13,800.49 × 7,390.20
  4. Step 4: Simplify right side
    9,247.80x = 101,988,381.20
  5. Step 5: Solve for x
    x = 101,988,381.20/9,247.80
  6. Step 6: Final answer
    x = 11,028.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.