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Finding the Fourth Proportional to 6,284.24, 9,428.02 and 2,774.98

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Solution

The fourth proportional to 6,284.24, 9,428.02 and 2,774.98 is: 4,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.24 : 9,428.02 = 2,774.98 : x
  2. Step 2: Convert to fraction form
    6,284.24/9,428.02 = 2,774.98/x
  3. Step 3: Cross multiply
    6,284.24x = 9,428.02 × 2,774.98
  4. Step 4: Simplify right side
    6,284.24x = 26,162,566.94
  5. Step 5: Solve for x
    x = 26,162,566.94/6,284.24
  6. Step 6: Final answer
    x = 4,163.20

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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.