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Finding the Fourth Proportional to 6,266.70, 9,400.05 and 5,756.40

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Solution

The fourth proportional to 6,266.70, 9,400.05 and 5,756.40 is: 8,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.70 : 9,400.05 = 5,756.40 : x
  2. Step 2: Convert to fraction form
    6,266.70/9,400.05 = 5,756.40/x
  3. Step 3: Cross multiply
    6,266.70x = 9,400.05 × 5,756.40
  4. Step 4: Simplify right side
    6,266.70x = 54,110,447.82
  5. Step 5: Solve for x
    x = 54,110,447.82/6,266.70
  6. Step 6: Final answer
    x = 8,634.60

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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.