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Finding the Fourth Proportional to 7,007.06, 9,668.76 and 3,863.46

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Solution

The fourth proportional to 7,007.06, 9,668.76 and 3,863.46 is: 5,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.06 : 9,668.76 = 3,863.46 : x
  2. Step 2: Convert to fraction form
    7,007.06/9,668.76 = 3,863.46/x
  3. Step 3: Cross multiply
    7,007.06x = 9,668.76 × 3,863.46
  4. Step 4: Simplify right side
    7,007.06x = 37,354,867.51
  5. Step 5: Solve for x
    x = 37,354,867.51/7,007.06
  6. Step 6: Final answer
    x = 5,331.03

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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.