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Finding the Fourth Proportional to 9,377.13, 14,067.59 and 4,183

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Solution

The fourth proportional to 9,377.13, 14,067.59 and 4,183 is: 6,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.13 : 14,067.59 = 4,183 : x
  2. Step 2: Convert to fraction form
    9,377.13/14,067.59 = 4,183/x
  3. Step 3: Cross multiply
    9,377.13x = 14,067.59 × 4,183
  4. Step 4: Simplify right side
    9,377.13x = 58,844,728.97
  5. Step 5: Solve for x
    x = 58,844,728.97/9,377.13
  6. Step 6: Final answer
    x = 6,275.35

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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.