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Finding the Fourth Proportional to 6,678.45, 9,214.94 and 4,026.03

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Solution

The fourth proportional to 6,678.45, 9,214.94 and 4,026.03 is: 5,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.45 : 9,214.94 = 4,026.03 : x
  2. Step 2: Convert to fraction form
    6,678.45/9,214.94 = 4,026.03/x
  3. Step 3: Cross multiply
    6,678.45x = 9,214.94 × 4,026.03
  4. Step 4: Simplify right side
    6,678.45x = 37,099,604.76
  5. Step 5: Solve for x
    x = 37,099,604.76/6,678.45
  6. Step 6: Final answer
    x = 5,555.12

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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.