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Finding the Fourth Proportional to 6,870.70, 9,640.85 and 6,870.70

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Solution

The fourth proportional to 6,870.70, 9,640.85 and 6,870.70 is: 9,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.70 : 9,640.85 = 6,870.70 : x
  2. Step 2: Convert to fraction form
    6,870.70/9,640.85 = 6,870.70/x
  3. Step 3: Cross multiply
    6,870.70x = 9,640.85 × 6,870.70
  4. Step 4: Simplify right side
    6,870.70x = 66,239,388.10
  5. Step 5: Solve for x
    x = 66,239,388.10/6,870.70
  6. Step 6: Final answer
    x = 9,640.85

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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.