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Finding the Fourth Proportional to 6,158.70, 9,213.12 and 4,761.36

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Solution

The fourth proportional to 6,158.70, 9,213.12 and 4,761.36 is: 7,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.70 : 9,213.12 = 4,761.36 : x
  2. Step 2: Convert to fraction form
    6,158.70/9,213.12 = 4,761.36/x
  3. Step 3: Cross multiply
    6,158.70x = 9,213.12 × 4,761.36
  4. Step 4: Simplify right side
    6,158.70x = 43,866,981.04
  5. Step 5: Solve for x
    x = 43,866,981.04/6,158.70
  6. Step 6: Final answer
    x = 7,122.77

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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.