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Finding the Fourth Proportional to 6,677.96, 9,219.24 and 4,026

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Solution

The fourth proportional to 6,677.96, 9,219.24 and 4,026 is: 5,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.96 : 9,219.24 = 4,026 : x
  2. Step 2: Convert to fraction form
    6,677.96/9,219.24 = 4,026/x
  3. Step 3: Cross multiply
    6,677.96x = 9,219.24 × 4,026
  4. Step 4: Simplify right side
    6,677.96x = 37,116,660.24
  5. Step 5: Solve for x
    x = 37,116,660.24/6,677.96
  6. Step 6: Final answer
    x = 5,558.08

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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.