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Finding the Fourth Proportional to 9,600.95, 14,397.95 and 3,679.50

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Solution

The fourth proportional to 9,600.95, 14,397.95 and 3,679.50 is: 5,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.95 : 14,397.95 = 3,679.50 : x
  2. Step 2: Convert to fraction form
    9,600.95/14,397.95 = 3,679.50/x
  3. Step 3: Cross multiply
    9,600.95x = 14,397.95 × 3,679.50
  4. Step 4: Simplify right side
    9,600.95x = 52,977,257.03
  5. Step 5: Solve for x
    x = 52,977,257.03/9,600.95
  6. Step 6: Final answer
    x = 5,517.92

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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.