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Finding the Fourth Proportional to 9,142.31, 13,718.42 and 3,880.28

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Solution

The fourth proportional to 9,142.31, 13,718.42 and 3,880.28 is: 5,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.31 : 13,718.42 = 3,880.28 : x
  2. Step 2: Convert to fraction form
    9,142.31/13,718.42 = 3,880.28/x
  3. Step 3: Cross multiply
    9,142.31x = 13,718.42 × 3,880.28
  4. Step 4: Simplify right side
    9,142.31x = 53,231,237.32
  5. Step 5: Solve for x
    x = 53,231,237.32/9,142.31
  6. Step 6: Final answer
    x = 5,822.52

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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.