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Finding the Fourth Proportional to 6,984.80, 9,785.20 and 6,984.80

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Solution

The fourth proportional to 6,984.80, 9,785.20 and 6,984.80 is: 9,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.80 : 9,785.20 = 6,984.80 : x
  2. Step 2: Convert to fraction form
    6,984.80/9,785.20 = 6,984.80/x
  3. Step 3: Cross multiply
    6,984.80x = 9,785.20 × 6,984.80
  4. Step 4: Simplify right side
    6,984.80x = 68,347,664.96
  5. Step 5: Solve for x
    x = 68,347,664.96/6,984.80
  6. Step 6: Final answer
    x = 9,785.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.