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Finding the Fourth Proportional to 9,464.92, 13,045.24 and 7,102.96

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Solution

The fourth proportional to 9,464.92, 13,045.24 and 7,102.96 is: 9,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.92 : 13,045.24 = 7,102.96 : x
  2. Step 2: Convert to fraction form
    9,464.92/13,045.24 = 7,102.96/x
  3. Step 3: Cross multiply
    9,464.92x = 13,045.24 × 7,102.96
  4. Step 4: Simplify right side
    9,464.92x = 92,659,817.91
  5. Step 5: Solve for x
    x = 92,659,817.91/9,464.92
  6. Step 6: Final answer
    x = 9,789.82

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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.