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Finding the Fourth Proportional to 6,133.11, 8,446.84 and 6,114.88

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Solution

The fourth proportional to 6,133.11, 8,446.84 and 6,114.88 is: 8,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.11 : 8,446.84 = 6,114.88 : x
  2. Step 2: Convert to fraction form
    6,133.11/8,446.84 = 6,114.88/x
  3. Step 3: Cross multiply
    6,133.11x = 8,446.84 × 6,114.88
  4. Step 4: Simplify right side
    6,133.11x = 51,651,412.98
  5. Step 5: Solve for x
    x = 51,651,412.98/6,133.11
  6. Step 6: Final answer
    x = 8,421.73

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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.