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Finding the Fourth Proportional to 6,670.78, 9,205.20 and 3,686.58

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Solution

The fourth proportional to 6,670.78, 9,205.20 and 3,686.58 is: 5,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.78 : 9,205.20 = 3,686.58 : x
  2. Step 2: Convert to fraction form
    6,670.78/9,205.20 = 3,686.58/x
  3. Step 3: Cross multiply
    6,670.78x = 9,205.20 × 3,686.58
  4. Step 4: Simplify right side
    6,670.78x = 33,935,706.22
  5. Step 5: Solve for x
    x = 33,935,706.22/6,670.78
  6. Step 6: Final answer
    x = 5,087.22

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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.