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Finding the Fourth Proportional to 6,946.58, 9,586.21 and 3,802.77

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Solution

The fourth proportional to 6,946.58, 9,586.21 and 3,802.77 is: 5,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.58 : 9,586.21 = 3,802.77 : x
  2. Step 2: Convert to fraction form
    6,946.58/9,586.21 = 3,802.77/x
  3. Step 3: Cross multiply
    6,946.58x = 9,586.21 × 3,802.77
  4. Step 4: Simplify right side
    6,946.58x = 36,454,151.80
  5. Step 5: Solve for x
    x = 36,454,151.80/6,946.58
  6. Step 6: Final answer
    x = 5,247.78

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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.