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Finding the Fourth Proportional to 9,444.75, 14,142.42 and 7,960.02

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Solution

The fourth proportional to 9,444.75, 14,142.42 and 7,960.02 is: 11,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.75 : 14,142.42 = 7,960.02 : x
  2. Step 2: Convert to fraction form
    9,444.75/14,142.42 = 7,960.02/x
  3. Step 3: Cross multiply
    9,444.75x = 14,142.42 × 7,960.02
  4. Step 4: Simplify right side
    9,444.75x = 112,573,946.05
  5. Step 5: Solve for x
    x = 112,573,946.05/9,444.75
  6. Step 6: Final answer
    x = 11,919.21

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