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Finding the Fourth Proportional to 9,378.88, 14,067.84 and 2,805.12

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Solution

The fourth proportional to 9,378.88, 14,067.84 and 2,805.12 is: 4,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.88 : 14,067.84 = 2,805.12 : x
  2. Step 2: Convert to fraction form
    9,378.88/14,067.84 = 2,805.12/x
  3. Step 3: Cross multiply
    9,378.88x = 14,067.84 × 2,805.12
  4. Step 4: Simplify right side
    9,378.88x = 39,461,979.34
  5. Step 5: Solve for x
    x = 39,461,979.34/9,378.88
  6. Step 6: Final answer
    x = 4,207.54

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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.