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Finding the Fourth Proportional to 6,186.72, 8,537.94 and 3,534.33

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Solution

The fourth proportional to 6,186.72, 8,537.94 and 3,534.33 is: 4,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.72 : 8,537.94 = 3,534.33 : x
  2. Step 2: Convert to fraction form
    6,186.72/8,537.94 = 3,534.33/x
  3. Step 3: Cross multiply
    6,186.72x = 8,537.94 × 3,534.33
  4. Step 4: Simplify right side
    6,186.72x = 30,175,897.48
  5. Step 5: Solve for x
    x = 30,175,897.48/6,186.72
  6. Step 6: Final answer
    x = 4,877.53

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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.