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Finding the Fourth Proportional to 9,788.37, 13,519.17 and 6,446.13

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Solution

The fourth proportional to 9,788.37, 13,519.17 and 6,446.13 is: 8,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.37 : 13,519.17 = 6,446.13 : x
  2. Step 2: Convert to fraction form
    9,788.37/13,519.17 = 6,446.13/x
  3. Step 3: Cross multiply
    9,788.37x = 13,519.17 × 6,446.13
  4. Step 4: Simplify right side
    9,788.37x = 87,146,276.62
  5. Step 5: Solve for x
    x = 87,146,276.62/9,788.37
  6. Step 6: Final answer
    x = 8,903.04

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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.