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Finding the Fourth Proportional to 6,708.16, 9,266.43 and 5,447.80

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Solution

The fourth proportional to 6,708.16, 9,266.43 and 5,447.80 is: 7,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.16 : 9,266.43 = 5,447.80 : x
  2. Step 2: Convert to fraction form
    6,708.16/9,266.43 = 5,447.80/x
  3. Step 3: Cross multiply
    6,708.16x = 9,266.43 × 5,447.80
  4. Step 4: Simplify right side
    6,708.16x = 50,481,657.35
  5. Step 5: Solve for x
    x = 50,481,657.35/6,708.16
  6. Step 6: Final answer
    x = 7,525.41

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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.