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Finding the Fourth Proportional to 6,446.14, 9,668.51 and 3,980.30

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Solution

The fourth proportional to 6,446.14, 9,668.51 and 3,980.30 is: 5,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.14 : 9,668.51 = 3,980.30 : x
  2. Step 2: Convert to fraction form
    6,446.14/9,668.51 = 3,980.30/x
  3. Step 3: Cross multiply
    6,446.14x = 9,668.51 × 3,980.30
  4. Step 4: Simplify right side
    6,446.14x = 38,483,566.62
  5. Step 5: Solve for x
    x = 38,483,566.62/6,446.14
  6. Step 6: Final answer
    x = 5,970.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.