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Finding the Fourth Proportional to 9,883.94, 13,644.80 and 7,640.74

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Solution

The fourth proportional to 9,883.94, 13,644.80 and 7,640.74 is: 10,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.94 : 13,644.80 = 7,640.74 : x
  2. Step 2: Convert to fraction form
    9,883.94/13,644.80 = 7,640.74/x
  3. Step 3: Cross multiply
    9,883.94x = 13,644.80 × 7,640.74
  4. Step 4: Simplify right side
    9,883.94x = 104,256,369.15
  5. Step 5: Solve for x
    x = 104,256,369.15/9,883.94
  6. Step 6: Final answer
    x = 10,548.06

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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.