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Finding the Fourth Proportional to 9,438.61, 13,025.29 and 5,189.74

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Solution

The fourth proportional to 9,438.61, 13,025.29 and 5,189.74 is: 7,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.61 : 13,025.29 = 5,189.74 : x
  2. Step 2: Convert to fraction form
    9,438.61/13,025.29 = 5,189.74/x
  3. Step 3: Cross multiply
    9,438.61x = 13,025.29 × 5,189.74
  4. Step 4: Simplify right side
    9,438.61x = 67,597,822.99
  5. Step 5: Solve for x
    x = 67,597,822.99/9,438.61
  6. Step 6: Final answer
    x = 7,161.84

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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.