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Finding the Fourth Proportional to 7,026.66, 9,696.66 and 3,882.78

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Solution

The fourth proportional to 7,026.66, 9,696.66 and 3,882.78 is: 5,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.66 : 9,696.66 = 3,882.78 : x
  2. Step 2: Convert to fraction form
    7,026.66/9,696.66 = 3,882.78/x
  3. Step 3: Cross multiply
    7,026.66x = 9,696.66 × 3,882.78
  4. Step 4: Simplify right side
    7,026.66x = 37,649,997.51
  5. Step 5: Solve for x
    x = 37,649,997.51/7,026.66
  6. Step 6: Final answer
    x = 5,358.16

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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.