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Finding the Fourth Proportional to 6,563.82, 9,055.80 and 4,207.26

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Solution

The fourth proportional to 6,563.82, 9,055.80 and 4,207.26 is: 5,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.82 : 9,055.80 = 4,207.26 : x
  2. Step 2: Convert to fraction form
    6,563.82/9,055.80 = 4,207.26/x
  3. Step 3: Cross multiply
    6,563.82x = 9,055.80 × 4,207.26
  4. Step 4: Simplify right side
    6,563.82x = 38,100,105.11
  5. Step 5: Solve for x
    x = 38,100,105.11/6,563.82
  6. Step 6: Final answer
    x = 5,804.56

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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.