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Finding the Fourth Proportional to 9,946.26, 13,720.78 and 7,584.30

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Solution

The fourth proportional to 9,946.26, 13,720.78 and 7,584.30 is: 10,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.26 : 13,720.78 = 7,584.30 : x
  2. Step 2: Convert to fraction form
    9,946.26/13,720.78 = 7,584.30/x
  3. Step 3: Cross multiply
    9,946.26x = 13,720.78 × 7,584.30
  4. Step 4: Simplify right side
    9,946.26x = 104,062,511.75
  5. Step 5: Solve for x
    x = 104,062,511.75/9,946.26
  6. Step 6: Final answer
    x = 10,462.48

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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.