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Finding the Fourth Proportional to 9,406.98, 14,092.14 and 4,469.82

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Solution

The fourth proportional to 9,406.98, 14,092.14 and 4,469.82 is: 6,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.98 : 14,092.14 = 4,469.82 : x
  2. Step 2: Convert to fraction form
    9,406.98/14,092.14 = 4,469.82/x
  3. Step 3: Cross multiply
    9,406.98x = 14,092.14 × 4,469.82
  4. Step 4: Simplify right side
    9,406.98x = 62,989,329.21
  5. Step 5: Solve for x
    x = 62,989,329.21/9,406.98
  6. Step 6: Final answer
    x = 6,696.02

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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.