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Finding the Fourth Proportional to 9,625.67, 14,434.76 and 2,960.18

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Solution

The fourth proportional to 9,625.67, 14,434.76 and 2,960.18 is: 4,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.67 : 14,434.76 = 2,960.18 : x
  2. Step 2: Convert to fraction form
    9,625.67/14,434.76 = 2,960.18/x
  3. Step 3: Cross multiply
    9,625.67x = 14,434.76 × 2,960.18
  4. Step 4: Simplify right side
    9,625.67x = 42,729,400.88
  5. Step 5: Solve for x
    x = 42,729,400.88/9,625.67
  6. Step 6: Final answer
    x = 4,439.11

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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.