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Finding the Fourth Proportional to 6,434.77, 8,884.19 and 4,950.44

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Solution

The fourth proportional to 6,434.77, 8,884.19 and 4,950.44 is: 6,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.77 : 8,884.19 = 4,950.44 : x
  2. Step 2: Convert to fraction form
    6,434.77/8,884.19 = 4,950.44/x
  3. Step 3: Cross multiply
    6,434.77x = 8,884.19 × 4,950.44
  4. Step 4: Simplify right side
    6,434.77x = 43,980,649.54
  5. Step 5: Solve for x
    x = 43,980,649.54/6,434.77
  6. Step 6: Final answer
    x = 6,834.84

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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.