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Finding the Fourth Proportional to 9,193.68, 12,687.77 and 5,216.07

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Solution

The fourth proportional to 9,193.68, 12,687.77 and 5,216.07 is: 7,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.68 : 12,687.77 = 5,216.07 : x
  2. Step 2: Convert to fraction form
    9,193.68/12,687.77 = 5,216.07/x
  3. Step 3: Cross multiply
    9,193.68x = 12,687.77 × 5,216.07
  4. Step 4: Simplify right side
    9,193.68x = 66,180,296.46
  5. Step 5: Solve for x
    x = 66,180,296.46/9,193.68
  6. Step 6: Final answer
    x = 7,198.46

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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.