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Finding the Fourth Proportional to 9,380.88, 14,076 and 3,838.32

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Solution

The fourth proportional to 9,380.88, 14,076 and 3,838.32 is: 5,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.88 : 14,076 = 3,838.32 : x
  2. Step 2: Convert to fraction form
    9,380.88/14,076 = 3,838.32/x
  3. Step 3: Cross multiply
    9,380.88x = 14,076 × 3,838.32
  4. Step 4: Simplify right side
    9,380.88x = 54,028,192.32
  5. Step 5: Solve for x
    x = 54,028,192.32/9,380.88
  6. Step 6: Final answer
    x = 5,759.39

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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.