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Finding the Fourth Proportional to 6,680.80, 9,258.43 and 6,586.84

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Solution

The fourth proportional to 6,680.80, 9,258.43 and 6,586.84 is: 9,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.80 : 9,258.43 = 6,586.84 : x
  2. Step 2: Convert to fraction form
    6,680.80/9,258.43 = 6,586.84/x
  3. Step 3: Cross multiply
    6,680.80x = 9,258.43 × 6,586.84
  4. Step 4: Simplify right side
    6,680.80x = 60,983,797.06
  5. Step 5: Solve for x
    x = 60,983,797.06/6,680.80
  6. Step 6: Final answer
    x = 9,128.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.