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Finding the Fourth Proportional to 9,951.76, 13,644.42 and 9,774.06

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Solution

The fourth proportional to 9,951.76, 13,644.42 and 9,774.06 is: 13,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.76 : 13,644.42 = 9,774.06 : x
  2. Step 2: Convert to fraction form
    9,951.76/13,644.42 = 9,774.06/x
  3. Step 3: Cross multiply
    9,951.76x = 13,644.42 × 9,774.06
  4. Step 4: Simplify right side
    9,951.76x = 133,361,330.87
  5. Step 5: Solve for x
    x = 133,361,330.87/9,951.76
  6. Step 6: Final answer
    x = 13,400.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.