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Finding the Fourth Proportional to 9,790.94, 13,514.91 and 5,815.46

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Solution

The fourth proportional to 9,790.94, 13,514.91 and 5,815.46 is: 8,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.94 : 13,514.91 = 5,815.46 : x
  2. Step 2: Convert to fraction form
    9,790.94/13,514.91 = 5,815.46/x
  3. Step 3: Cross multiply
    9,790.94x = 13,514.91 × 5,815.46
  4. Step 4: Simplify right side
    9,790.94x = 78,595,418.51
  5. Step 5: Solve for x
    x = 78,595,418.51/9,790.94
  6. Step 6: Final answer
    x = 8,027.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.