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Finding the Fourth Proportional to 9,443.45, 13,032.14 and 5,194.68

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Solution

The fourth proportional to 9,443.45, 13,032.14 and 5,194.68 is: 7,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.45 : 13,032.14 = 5,194.68 : x
  2. Step 2: Convert to fraction form
    9,443.45/13,032.14 = 5,194.68/x
  3. Step 3: Cross multiply
    9,443.45x = 13,032.14 × 5,194.68
  4. Step 4: Simplify right side
    9,443.45x = 67,697,771.04
  5. Step 5: Solve for x
    x = 67,697,771.04/9,443.45
  6. Step 6: Final answer
    x = 7,168.76

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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.