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Finding the Fourth Proportional to 7,388.20, 9,981.75 and 7,388.20

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Solution

The fourth proportional to 7,388.20, 9,981.75 and 7,388.20 is: 9,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.20 : 9,981.75 = 7,388.20 : x
  2. Step 2: Convert to fraction form
    7,388.20/9,981.75 = 7,388.20/x
  3. Step 3: Cross multiply
    7,388.20x = 9,981.75 × 7,388.20
  4. Step 4: Simplify right side
    7,388.20x = 73,747,165.35
  5. Step 5: Solve for x
    x = 73,747,165.35/7,388.20
  6. Step 6: Final answer
    x = 9,981.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.