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Finding the Fourth Proportional to 6,634.90, 9,157.46 and 3,804.17

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Solution

The fourth proportional to 6,634.90, 9,157.46 and 3,804.17 is: 5,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.90 : 9,157.46 = 3,804.17 : x
  2. Step 2: Convert to fraction form
    6,634.90/9,157.46 = 3,804.17/x
  3. Step 3: Cross multiply
    6,634.90x = 9,157.46 × 3,804.17
  4. Step 4: Simplify right side
    6,634.90x = 34,836,534.61
  5. Step 5: Solve for x
    x = 34,836,534.61/6,634.90
  6. Step 6: Final answer
    x = 5,250.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.