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Finding the Fourth Proportional to 9,236.82, 13,858.41 and 5,071.50

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Solution

The fourth proportional to 9,236.82, 13,858.41 and 5,071.50 is: 7,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.82 : 13,858.41 = 5,071.50 : x
  2. Step 2: Convert to fraction form
    9,236.82/13,858.41 = 5,071.50/x
  3. Step 3: Cross multiply
    9,236.82x = 13,858.41 × 5,071.50
  4. Step 4: Simplify right side
    9,236.82x = 70,282,926.32
  5. Step 5: Solve for x
    x = 70,282,926.32/9,236.82
  6. Step 6: Final answer
    x = 7,609.00

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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.