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Finding the Fourth Proportional to 6,414.34, 8,817.81 and 5,514.77

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Solution

The fourth proportional to 6,414.34, 8,817.81 and 5,514.77 is: 7,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.34 : 8,817.81 = 5,514.77 : x
  2. Step 2: Convert to fraction form
    6,414.34/8,817.81 = 5,514.77/x
  3. Step 3: Cross multiply
    6,414.34x = 8,817.81 × 5,514.77
  4. Step 4: Simplify right side
    6,414.34x = 48,628,176.84
  5. Step 5: Solve for x
    x = 48,628,176.84/6,414.34
  6. Step 6: Final answer
    x = 7,581.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.