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Finding the Fourth Proportional to 6,114.88, 8,443.70 and 3,880.72

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Solution

The fourth proportional to 6,114.88, 8,443.70 and 3,880.72 is: 5,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.88 : 8,443.70 = 3,880.72 : x
  2. Step 2: Convert to fraction form
    6,114.88/8,443.70 = 3,880.72/x
  3. Step 3: Cross multiply
    6,114.88x = 8,443.70 × 3,880.72
  4. Step 4: Simplify right side
    6,114.88x = 32,767,635.46
  5. Step 5: Solve for x
    x = 32,767,635.46/6,114.88
  6. Step 6: Final answer
    x = 5,358.67

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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.