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Finding the Fourth Proportional to 6,421.64, 9,628.62 and 2,668.90

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Solution

The fourth proportional to 6,421.64, 9,628.62 and 2,668.90 is: 4,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.64 : 9,628.62 = 2,668.90 : x
  2. Step 2: Convert to fraction form
    6,421.64/9,628.62 = 2,668.90/x
  3. Step 3: Cross multiply
    6,421.64x = 9,628.62 × 2,668.90
  4. Step 4: Simplify right side
    6,421.64x = 25,697,806.20
  5. Step 5: Solve for x
    x = 25,697,806.20/6,421.64
  6. Step 6: Final answer
    x = 4,001.75

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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.