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Finding the Fourth Proportional to 6,231.42, 9,345.08 and 2,282.00

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Solution

The fourth proportional to 6,231.42, 9,345.08 and 2,282.00 is: 3,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.42 : 9,345.08 = 2,282.00 : x
  2. Step 2: Convert to fraction form
    6,231.42/9,345.08 = 2,282.00/x
  3. Step 3: Cross multiply
    6,231.42x = 9,345.08 × 2,282.00
  4. Step 4: Simplify right side
    6,231.42x = 21,325,484.51
  5. Step 5: Solve for x
    x = 21,325,484.51/6,231.42
  6. Step 6: Final answer
    x = 3,422.25

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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.