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Finding the Fourth Proportional to 6,238.09, 9,357.14 and 1,855.54

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Solution

The fourth proportional to 6,238.09, 9,357.14 and 1,855.54 is: 2,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.09 : 9,357.14 = 1,855.54 : x
  2. Step 2: Convert to fraction form
    6,238.09/9,357.14 = 1,855.54/x
  3. Step 3: Cross multiply
    6,238.09x = 9,357.14 × 1,855.54
  4. Step 4: Simplify right side
    6,238.09x = 17,362,547.56
  5. Step 5: Solve for x
    x = 17,362,547.56/6,238.09
  6. Step 6: Final answer
    x = 2,783.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.