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Finding the Fourth Proportional to 6,443.19, 8,909.49 and 5,114.58

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Solution

The fourth proportional to 6,443.19, 8,909.49 and 5,114.58 is: 7,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.19 : 8,909.49 = 5,114.58 : x
  2. Step 2: Convert to fraction form
    6,443.19/8,909.49 = 5,114.58/x
  3. Step 3: Cross multiply
    6,443.19x = 8,909.49 × 5,114.58
  4. Step 4: Simplify right side
    6,443.19x = 45,568,321.64
  5. Step 5: Solve for x
    x = 45,568,321.64/6,443.19
  6. Step 6: Final answer
    x = 7,072.33

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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.