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Finding the Fourth Proportional to 6,946.35, 9,586.02 and 3,802.60

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Solution

The fourth proportional to 6,946.35, 9,586.02 and 3,802.60 is: 5,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.35 : 9,586.02 = 3,802.60 : x
  2. Step 2: Convert to fraction form
    6,946.35/9,586.02 = 3,802.60/x
  3. Step 3: Cross multiply
    6,946.35x = 9,586.02 × 3,802.60
  4. Step 4: Simplify right side
    6,946.35x = 36,451,799.65
  5. Step 5: Solve for x
    x = 36,451,799.65/6,946.35
  6. Step 6: Final answer
    x = 5,247.62

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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.