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Finding the Fourth Proportional to 9,442.17, 14,163.25 and 4,496.82

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Solution

The fourth proportional to 9,442.17, 14,163.25 and 4,496.82 is: 6,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.17 : 14,163.25 = 4,496.82 : x
  2. Step 2: Convert to fraction form
    9,442.17/14,163.25 = 4,496.82/x
  3. Step 3: Cross multiply
    9,442.17x = 14,163.25 × 4,496.82
  4. Step 4: Simplify right side
    9,442.17x = 63,689,515.05
  5. Step 5: Solve for x
    x = 63,689,515.05/9,442.17
  6. Step 6: Final answer
    x = 6,745.22

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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.