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Finding the Fourth Proportional to 6,483.26, 8,946.46 and 3,964.34

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Solution

The fourth proportional to 6,483.26, 8,946.46 and 3,964.34 is: 5,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.26 : 8,946.46 = 3,964.34 : x
  2. Step 2: Convert to fraction form
    6,483.26/8,946.46 = 3,964.34/x
  3. Step 3: Cross multiply
    6,483.26x = 8,946.46 × 3,964.34
  4. Step 4: Simplify right side
    6,483.26x = 35,466,809.24
  5. Step 5: Solve for x
    x = 35,466,809.24/6,483.26
  6. Step 6: Final answer
    x = 5,470.52

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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.