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Finding the Fourth Proportional to 6,453.07, 9,668.03 and 3,953

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Solution

The fourth proportional to 6,453.07, 9,668.03 and 3,953 is: 5,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.07 : 9,668.03 = 3,953 : x
  2. Step 2: Convert to fraction form
    6,453.07/9,668.03 = 3,953/x
  3. Step 3: Cross multiply
    6,453.07x = 9,668.03 × 3,953
  4. Step 4: Simplify right side
    6,453.07x = 38,217,712.71
  5. Step 5: Solve for x
    x = 38,217,712.71/6,453.07
  6. Step 6: Final answer
    x = 5,922.41

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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.