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Finding the Fourth Proportional to 6,119.21, 9,178.65 and 1,959.15

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Solution

The fourth proportional to 6,119.21, 9,178.65 and 1,959.15 is: 2,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.21 : 9,178.65 = 1,959.15 : x
  2. Step 2: Convert to fraction form
    6,119.21/9,178.65 = 1,959.15/x
  3. Step 3: Cross multiply
    6,119.21x = 9,178.65 × 1,959.15
  4. Step 4: Simplify right side
    6,119.21x = 17,982,352.15
  5. Step 5: Solve for x
    x = 17,982,352.15/6,119.21
  6. Step 6: Final answer
    x = 2,938.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.