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Finding the Fourth Proportional to 6,219.45, 9,318.67 and 5,238.95

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Solution

The fourth proportional to 6,219.45, 9,318.67 and 5,238.95 is: 7,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.45 : 9,318.67 = 5,238.95 : x
  2. Step 2: Convert to fraction form
    6,219.45/9,318.67 = 5,238.95/x
  3. Step 3: Cross multiply
    6,219.45x = 9,318.67 × 5,238.95
  4. Step 4: Simplify right side
    6,219.45x = 48,819,986.51
  5. Step 5: Solve for x
    x = 48,819,986.51/6,219.45
  6. Step 6: Final answer
    x = 7,849.57

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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.