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Finding the Fourth Proportional to 6,670.64, 9,205.44 and 3,686.60

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Solution

The fourth proportional to 6,670.64, 9,205.44 and 3,686.60 is: 5,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.64 : 9,205.44 = 3,686.60 : x
  2. Step 2: Convert to fraction form
    6,670.64/9,205.44 = 3,686.60/x
  3. Step 3: Cross multiply
    6,670.64x = 9,205.44 × 3,686.60
  4. Step 4: Simplify right side
    6,670.64x = 33,936,775.10
  5. Step 5: Solve for x
    x = 33,936,775.10/6,670.64
  6. Step 6: Final answer
    x = 5,087.48

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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.