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Finding the Fourth Proportional to 9,881.26, 14,820.26 and 4,616.82

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Solution

The fourth proportional to 9,881.26, 14,820.26 and 4,616.82 is: 6,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.26 : 14,820.26 = 4,616.82 : x
  2. Step 2: Convert to fraction form
    9,881.26/14,820.26 = 4,616.82/x
  3. Step 3: Cross multiply
    9,881.26x = 14,820.26 × 4,616.82
  4. Step 4: Simplify right side
    9,881.26x = 68,422,375.59
  5. Step 5: Solve for x
    x = 68,422,375.59/9,881.26
  6. Step 6: Final answer
    x = 6,924.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.