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Finding the Fourth Proportional to 6,087.44, 9,127.70 and 1,928.50

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Solution

The fourth proportional to 6,087.44, 9,127.70 and 1,928.50 is: 2,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.44 : 9,127.70 = 1,928.50 : x
  2. Step 2: Convert to fraction form
    6,087.44/9,127.70 = 1,928.50/x
  3. Step 3: Cross multiply
    6,087.44x = 9,127.70 × 1,928.50
  4. Step 4: Simplify right side
    6,087.44x = 17,602,769.45
  5. Step 5: Solve for x
    x = 17,602,769.45/6,087.44
  6. Step 6: Final answer
    x = 2,891.65

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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.