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Finding the Fourth Proportional to 9,573.93, 13,195.71 and 8,219.61

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Solution

The fourth proportional to 9,573.93, 13,195.71 and 8,219.61 is: 11,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.93 : 13,195.71 = 8,219.61 : x
  2. Step 2: Convert to fraction form
    9,573.93/13,195.71 = 8,219.61/x
  3. Step 3: Cross multiply
    9,573.93x = 13,195.71 × 8,219.61
  4. Step 4: Simplify right side
    9,573.93x = 108,463,589.87
  5. Step 5: Solve for x
    x = 108,463,589.87/9,573.93
  6. Step 6: Final answer
    x = 11,329.06

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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.