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Finding the Fourth Proportional to 6,120.70, 9,160.66 and 4,651.63

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Solution

The fourth proportional to 6,120.70, 9,160.66 and 4,651.63 is: 6,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.70 : 9,160.66 = 4,651.63 : x
  2. Step 2: Convert to fraction form
    6,120.70/9,160.66 = 4,651.63/x
  3. Step 3: Cross multiply
    6,120.70x = 9,160.66 × 4,651.63
  4. Step 4: Simplify right side
    6,120.70x = 42,612,000.88
  5. Step 5: Solve for x
    x = 42,612,000.88/6,120.70
  6. Step 6: Final answer
    x = 6,961.95

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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.