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Finding the Fourth Proportional to 9,788.64, 13,514.94 and 6,256.62

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Solution

The fourth proportional to 9,788.64, 13,514.94 and 6,256.62 is: 8,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.64 : 13,514.94 = 6,256.62 : x
  2. Step 2: Convert to fraction form
    9,788.64/13,514.94 = 6,256.62/x
  3. Step 3: Cross multiply
    9,788.64x = 13,514.94 × 6,256.62
  4. Step 4: Simplify right side
    9,788.64x = 84,557,843.90
  5. Step 5: Solve for x
    x = 84,557,843.90/9,788.64
  6. Step 6: Final answer
    x = 8,638.36

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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.