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Finding the Fourth Proportional to 6,677.82, 9,212.96 and 4,026.06

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Solution

The fourth proportional to 6,677.82, 9,212.96 and 4,026.06 is: 5,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.82 : 9,212.96 = 4,026.06 : x
  2. Step 2: Convert to fraction form
    6,677.82/9,212.96 = 4,026.06/x
  3. Step 3: Cross multiply
    6,677.82x = 9,212.96 × 4,026.06
  4. Step 4: Simplify right side
    6,677.82x = 37,091,929.74
  5. Step 5: Solve for x
    x = 37,091,929.74/6,677.82
  6. Step 6: Final answer
    x = 5,554.50

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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.