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Finding the Fourth Proportional to 6,670.40, 9,205.16 and 3,686.45

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Solution

The fourth proportional to 6,670.40, 9,205.16 and 3,686.45 is: 5,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.40 : 9,205.16 = 3,686.45 : x
  2. Step 2: Convert to fraction form
    6,670.40/9,205.16 = 3,686.45/x
  3. Step 3: Cross multiply
    6,670.40x = 9,205.16 × 3,686.45
  4. Step 4: Simplify right side
    6,670.40x = 33,934,297.62
  5. Step 5: Solve for x
    x = 33,934,297.62/6,670.40
  6. Step 6: Final answer
    x = 5,087.30

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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.