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Finding the Fourth Proportional to 9,377.12, 14,067.12 and 2,802.56

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Solution

The fourth proportional to 9,377.12, 14,067.12 and 2,802.56 is: 4,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.12 : 14,067.12 = 2,802.56 : x
  2. Step 2: Convert to fraction form
    9,377.12/14,067.12 = 2,802.56/x
  3. Step 3: Cross multiply
    9,377.12x = 14,067.12 × 2,802.56
  4. Step 4: Simplify right side
    9,377.12x = 39,423,947.83
  5. Step 5: Solve for x
    x = 39,423,947.83/9,377.12
  6. Step 6: Final answer
    x = 4,204.27

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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.