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Finding the Fourth Proportional to 9,354.96, 12,904.11 and 6,372.14

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Solution

The fourth proportional to 9,354.96, 12,904.11 and 6,372.14 is: 8,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.96 : 12,904.11 = 6,372.14 : x
  2. Step 2: Convert to fraction form
    9,354.96/12,904.11 = 6,372.14/x
  3. Step 3: Cross multiply
    9,354.96x = 12,904.11 × 6,372.14
  4. Step 4: Simplify right side
    9,354.96x = 82,226,730.97
  5. Step 5: Solve for x
    x = 82,226,730.97/9,354.96
  6. Step 6: Final answer
    x = 8,789.64

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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.