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Finding the Fourth Proportional to 6,094.31, 9,141.47 and 1,477.31

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Solution

The fourth proportional to 6,094.31, 9,141.47 and 1,477.31 is: 2,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.31 : 9,141.47 = 1,477.31 : x
  2. Step 2: Convert to fraction form
    6,094.31/9,141.47 = 1,477.31/x
  3. Step 3: Cross multiply
    6,094.31x = 9,141.47 × 1,477.31
  4. Step 4: Simplify right side
    6,094.31x = 13,504,806.05
  5. Step 5: Solve for x
    x = 13,504,806.05/6,094.31
  6. Step 6: Final answer
    x = 2,215.97

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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.