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Finding the Fourth Proportional to 6,034.30, 9,032.31 and 5,256.09

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Solution

The fourth proportional to 6,034.30, 9,032.31 and 5,256.09 is: 7,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.30 : 9,032.31 = 5,256.09 : x
  2. Step 2: Convert to fraction form
    6,034.30/9,032.31 = 5,256.09/x
  3. Step 3: Cross multiply
    6,034.30x = 9,032.31 × 5,256.09
  4. Step 4: Simplify right side
    6,034.30x = 47,474,634.27
  5. Step 5: Solve for x
    x = 47,474,634.27/6,034.30
  6. Step 6: Final answer
    x = 7,867.47

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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.