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Finding the Fourth Proportional to 6,141.39, 9,213.93 and 4,756.29

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Solution

The fourth proportional to 6,141.39, 9,213.93 and 4,756.29 is: 7,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.39 : 9,213.93 = 4,756.29 : x
  2. Step 2: Convert to fraction form
    6,141.39/9,213.93 = 4,756.29/x
  3. Step 3: Cross multiply
    6,141.39x = 9,213.93 × 4,756.29
  4. Step 4: Simplify right side
    6,141.39x = 43,824,123.12
  5. Step 5: Solve for x
    x = 43,824,123.12/6,141.39
  6. Step 6: Final answer
    x = 7,135.86

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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.