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Finding the Fourth Proportional to 9,443.09, 13,031.21 and 5,194.16

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Solution

The fourth proportional to 9,443.09, 13,031.21 and 5,194.16 is: 7,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.09 : 13,031.21 = 5,194.16 : x
  2. Step 2: Convert to fraction form
    9,443.09/13,031.21 = 5,194.16/x
  3. Step 3: Cross multiply
    9,443.09x = 13,031.21 × 5,194.16
  4. Step 4: Simplify right side
    9,443.09x = 67,686,163.76
  5. Step 5: Solve for x
    x = 67,686,163.76/9,443.09
  6. Step 6: Final answer
    x = 7,167.80

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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.