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Finding the Fourth Proportional to 6,670.31, 9,205.22 and 3,686.34

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Solution

The fourth proportional to 6,670.31, 9,205.22 and 3,686.34 is: 5,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.31 : 9,205.22 = 3,686.34 : x
  2. Step 2: Convert to fraction form
    6,670.31/9,205.22 = 3,686.34/x
  3. Step 3: Cross multiply
    6,670.31x = 9,205.22 × 3,686.34
  4. Step 4: Simplify right side
    6,670.31x = 33,933,549.68
  5. Step 5: Solve for x
    x = 33,933,549.68/6,670.31
  6. Step 6: Final answer
    x = 5,087.25

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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.