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Finding the Fourth Proportional to 7,006.09, 9,668.27 and 3,819.41

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Solution

The fourth proportional to 7,006.09, 9,668.27 and 3,819.41 is: 5,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.09 : 9,668.27 = 3,819.41 : x
  2. Step 2: Convert to fraction form
    7,006.09/9,668.27 = 3,819.41/x
  3. Step 3: Cross multiply
    7,006.09x = 9,668.27 × 3,819.41
  4. Step 4: Simplify right side
    7,006.09x = 36,927,101.74
  5. Step 5: Solve for x
    x = 36,927,101.74/7,006.09
  6. Step 6: Final answer
    x = 5,270.72

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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.