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Finding the Fourth Proportional to 6,548.09, 9,036.34 and 3,563.93

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Solution

The fourth proportional to 6,548.09, 9,036.34 and 3,563.93 is: 4,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.09 : 9,036.34 = 3,563.93 : x
  2. Step 2: Convert to fraction form
    6,548.09/9,036.34 = 3,563.93/x
  3. Step 3: Cross multiply
    6,548.09x = 9,036.34 × 3,563.93
  4. Step 4: Simplify right side
    6,548.09x = 32,204,883.22
  5. Step 5: Solve for x
    x = 32,204,883.22/6,548.09
  6. Step 6: Final answer
    x = 4,918.21

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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.