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Finding the Fourth Proportional to 9,788.57, 13,514.18 and 6,204.11

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Solution

The fourth proportional to 9,788.57, 13,514.18 and 6,204.11 is: 8,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.57 : 13,514.18 = 6,204.11 : x
  2. Step 2: Convert to fraction form
    9,788.57/13,514.18 = 6,204.11/x
  3. Step 3: Cross multiply
    9,788.57x = 13,514.18 × 6,204.11
  4. Step 4: Simplify right side
    9,788.57x = 83,843,360.69
  5. Step 5: Solve for x
    x = 83,843,360.69/9,788.57
  6. Step 6: Final answer
    x = 8,565.44

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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.