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Finding the Fourth Proportional to 9,398, 14,082.36 and 3,551.42

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Solution

The fourth proportional to 9,398, 14,082.36 and 3,551.42 is: 5,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398 : 14,082.36 = 3,551.42 : x
  2. Step 2: Convert to fraction form
    9,398/14,082.36 = 3,551.42/x
  3. Step 3: Cross multiply
    9,398x = 14,082.36 × 3,551.42
  4. Step 4: Simplify right side
    9,398x = 50,012,374.95
  5. Step 5: Solve for x
    x = 50,012,374.95/9,398
  6. Step 6: Final answer
    x = 5,321.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.