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Finding the Fourth Proportional to 9,410.25, 12,986.00 and 5,161.41

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Solution

The fourth proportional to 9,410.25, 12,986.00 and 5,161.41 is: 7,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.25 : 12,986.00 = 5,161.41 : x
  2. Step 2: Convert to fraction form
    9,410.25/12,986.00 = 5,161.41/x
  3. Step 3: Cross multiply
    9,410.25x = 12,986.00 × 5,161.41
  4. Step 4: Simplify right side
    9,410.25x = 67,026,044.45
  5. Step 5: Solve for x
    x = 67,026,044.45/9,410.25
  6. Step 6: Final answer
    x = 7,122.66

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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.