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Finding the Fourth Proportional to 6,232.90, 9,349.32 and 2,534.28

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Solution

The fourth proportional to 6,232.90, 9,349.32 and 2,534.28 is: 3,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.90 : 9,349.32 = 2,534.28 : x
  2. Step 2: Convert to fraction form
    6,232.90/9,349.32 = 2,534.28/x
  3. Step 3: Cross multiply
    6,232.90x = 9,349.32 × 2,534.28
  4. Step 4: Simplify right side
    6,232.90x = 23,693,782.02
  5. Step 5: Solve for x
    x = 23,693,782.02/6,232.90
  6. Step 6: Final answer
    x = 3,801.41

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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.