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Finding the Fourth Proportional to 7,219.84, 9,963.38 and 3,907.84

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Solution

The fourth proportional to 7,219.84, 9,963.38 and 3,907.84 is: 5,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.84 : 9,963.38 = 3,907.84 : x
  2. Step 2: Convert to fraction form
    7,219.84/9,963.38 = 3,907.84/x
  3. Step 3: Cross multiply
    7,219.84x = 9,963.38 × 3,907.84
  4. Step 4: Simplify right side
    7,219.84x = 38,935,294.90
  5. Step 5: Solve for x
    x = 38,935,294.90/7,219.84
  6. Step 6: Final answer
    x = 5,392.82

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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.