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Finding the Fourth Proportional to 9,304, 13,956 and 2,378.52

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Solution

The fourth proportional to 9,304, 13,956 and 2,378.52 is: 3,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304 : 13,956 = 2,378.52 : x
  2. Step 2: Convert to fraction form
    9,304/13,956 = 2,378.52/x
  3. Step 3: Cross multiply
    9,304x = 13,956 × 2,378.52
  4. Step 4: Simplify right side
    9,304x = 33,194,625.12
  5. Step 5: Solve for x
    x = 33,194,625.12/9,304
  6. Step 6: Final answer
    x = 3,567.78

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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.