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Finding the Fourth Proportional to 9,640.91, 13,306.94 and 6,106.07

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Solution

The fourth proportional to 9,640.91, 13,306.94 and 6,106.07 is: 8,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.91 : 13,306.94 = 6,106.07 : x
  2. Step 2: Convert to fraction form
    9,640.91/13,306.94 = 6,106.07/x
  3. Step 3: Cross multiply
    9,640.91x = 13,306.94 × 6,106.07
  4. Step 4: Simplify right side
    9,640.91x = 81,253,010.06
  5. Step 5: Solve for x
    x = 81,253,010.06/9,640.91
  6. Step 6: Final answer
    x = 8,427.94

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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.