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Finding the Fourth Proportional to 9,438.95, 13,025.08 and 5,189.94

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Solution

The fourth proportional to 9,438.95, 13,025.08 and 5,189.94 is: 7,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.95 : 13,025.08 = 5,189.94 : x
  2. Step 2: Convert to fraction form
    9,438.95/13,025.08 = 5,189.94/x
  3. Step 3: Cross multiply
    9,438.95x = 13,025.08 × 5,189.94
  4. Step 4: Simplify right side
    9,438.95x = 67,599,375.59
  5. Step 5: Solve for x
    x = 67,599,375.59/9,438.95
  6. Step 6: Final answer
    x = 7,161.75

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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.