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Finding the Fourth Proportional to 9,633.70, 13,300.85 and 6,451.07

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Solution

The fourth proportional to 9,633.70, 13,300.85 and 6,451.07 is: 8,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.70 : 13,300.85 = 6,451.07 : x
  2. Step 2: Convert to fraction form
    9,633.70/13,300.85 = 6,451.07/x
  3. Step 3: Cross multiply
    9,633.70x = 13,300.85 × 6,451.07
  4. Step 4: Simplify right side
    9,633.70x = 85,804,682.15
  5. Step 5: Solve for x
    x = 85,804,682.15/9,633.70
  6. Step 6: Final answer
    x = 8,906.73

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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.