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Finding the Fourth Proportional to 8,654.46, 11,944.74 and 6,788.22

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Solution

The fourth proportional to 8,654.46, 11,944.74 and 6,788.22 is: 9,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.46 : 11,944.74 = 6,788.22 : x
  2. Step 2: Convert to fraction form
    8,654.46/11,944.74 = 6,788.22/x
  3. Step 3: Cross multiply
    8,654.46x = 11,944.74 × 6,788.22
  4. Step 4: Simplify right side
    8,654.46x = 81,083,522.96
  5. Step 5: Solve for x
    x = 81,083,522.96/8,654.46
  6. Step 6: Final answer
    x = 9,368.99

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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.