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Finding the Fourth Proportional to 9,838.31, 14,759.28 and 3,999.02

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Solution

The fourth proportional to 9,838.31, 14,759.28 and 3,999.02 is: 5,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.31 : 14,759.28 = 3,999.02 : x
  2. Step 2: Convert to fraction form
    9,838.31/14,759.28 = 3,999.02/x
  3. Step 3: Cross multiply
    9,838.31x = 14,759.28 × 3,999.02
  4. Step 4: Simplify right side
    9,838.31x = 59,022,582.11
  5. Step 5: Solve for x
    x = 59,022,582.11/9,838.31
  6. Step 6: Final answer
    x = 5,999.26

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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.