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Finding the Fourth Proportional to 9,913.26, 13,673.13 and 8,418.81

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Solution

The fourth proportional to 9,913.26, 13,673.13 and 8,418.81 is: 11,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.26 : 13,673.13 = 8,418.81 : x
  2. Step 2: Convert to fraction form
    9,913.26/13,673.13 = 8,418.81/x
  3. Step 3: Cross multiply
    9,913.26x = 13,673.13 × 8,418.81
  4. Step 4: Simplify right side
    9,913.26x = 115,111,483.58
  5. Step 5: Solve for x
    x = 115,111,483.58/9,913.26
  6. Step 6: Final answer
    x = 11,611.87

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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.