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Finding the Fourth Proportional to 6,686.56, 9,221.72 and 4,033.40

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Solution

The fourth proportional to 6,686.56, 9,221.72 and 4,033.40 is: 5,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.56 : 9,221.72 = 4,033.40 : x
  2. Step 2: Convert to fraction form
    6,686.56/9,221.72 = 4,033.40/x
  3. Step 3: Cross multiply
    6,686.56x = 9,221.72 × 4,033.40
  4. Step 4: Simplify right side
    6,686.56x = 37,194,885.45
  5. Step 5: Solve for x
    x = 37,194,885.45/6,686.56
  6. Step 6: Final answer
    x = 5,562.63

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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.