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Finding the Fourth Proportional to 6,848.46, 9,451.02 and 4,018

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Solution

The fourth proportional to 6,848.46, 9,451.02 and 4,018 is: 5,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.46 : 9,451.02 = 4,018 : x
  2. Step 2: Convert to fraction form
    6,848.46/9,451.02 = 4,018/x
  3. Step 3: Cross multiply
    6,848.46x = 9,451.02 × 4,018
  4. Step 4: Simplify right side
    6,848.46x = 37,974,198.36
  5. Step 5: Solve for x
    x = 37,974,198.36/6,848.46
  6. Step 6: Final answer
    x = 5,544.93

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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.