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Finding the Fourth Proportional to 6,678.71, 9,216.95 and 4,026.97

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Solution

The fourth proportional to 6,678.71, 9,216.95 and 4,026.97 is: 5,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.71 : 9,216.95 = 4,026.97 : x
  2. Step 2: Convert to fraction form
    6,678.71/9,216.95 = 4,026.97/x
  3. Step 3: Cross multiply
    6,678.71x = 9,216.95 × 4,026.97
  4. Step 4: Simplify right side
    6,678.71x = 37,116,381.14
  5. Step 5: Solve for x
    x = 37,116,381.14/6,678.71
  6. Step 6: Final answer
    x = 5,557.42

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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.