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Finding the Fourth Proportional to 9,291.66, 13,934.25 and 3,049.98

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Solution

The fourth proportional to 9,291.66, 13,934.25 and 3,049.98 is: 4,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.66 : 13,934.25 = 3,049.98 : x
  2. Step 2: Convert to fraction form
    9,291.66/13,934.25 = 3,049.98/x
  3. Step 3: Cross multiply
    9,291.66x = 13,934.25 × 3,049.98
  4. Step 4: Simplify right side
    9,291.66x = 42,499,183.82
  5. Step 5: Solve for x
    x = 42,499,183.82/9,291.66
  6. Step 6: Final answer
    x = 4,573.91

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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.