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Finding the Fourth Proportional to 6,537.35, 9,021.32 and 3,742.31

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Solution

The fourth proportional to 6,537.35, 9,021.32 and 3,742.31 is: 5,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.35 : 9,021.32 = 3,742.31 : x
  2. Step 2: Convert to fraction form
    6,537.35/9,021.32 = 3,742.31/x
  3. Step 3: Cross multiply
    6,537.35x = 9,021.32 × 3,742.31
  4. Step 4: Simplify right side
    6,537.35x = 33,760,548.82
  5. Step 5: Solve for x
    x = 33,760,548.82/6,537.35
  6. Step 6: Final answer
    x = 5,164.26

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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.