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Finding the Fourth Proportional to 6,848.61, 9,451.31 and 4,195.51

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Solution

The fourth proportional to 6,848.61, 9,451.31 and 4,195.51 is: 5,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.61 : 9,451.31 = 4,195.51 : x
  2. Step 2: Convert to fraction form
    6,848.61/9,451.31 = 4,195.51/x
  3. Step 3: Cross multiply
    6,848.61x = 9,451.31 × 4,195.51
  4. Step 4: Simplify right side
    6,848.61x = 39,653,072.65
  5. Step 5: Solve for x
    x = 39,653,072.65/6,848.61
  6. Step 6: Final answer
    x = 5,789.94

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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.