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Finding the Fourth Proportional to 6,865.16, 9,470.02 and 4,211.60

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Solution

The fourth proportional to 6,865.16, 9,470.02 and 4,211.60 is: 5,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.16 : 9,470.02 = 4,211.60 : x
  2. Step 2: Convert to fraction form
    6,865.16/9,470.02 = 4,211.60/x
  3. Step 3: Cross multiply
    6,865.16x = 9,470.02 × 4,211.60
  4. Step 4: Simplify right side
    6,865.16x = 39,883,936.23
  5. Step 5: Solve for x
    x = 39,883,936.23/6,865.16
  6. Step 6: Final answer
    x = 5,809.61

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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.