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Finding the Fourth Proportional to 9,384.57, 12,950.72 and 5,847.80

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Solution

The fourth proportional to 9,384.57, 12,950.72 and 5,847.80 is: 8,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.57 : 12,950.72 = 5,847.80 : x
  2. Step 2: Convert to fraction form
    9,384.57/12,950.72 = 5,847.80/x
  3. Step 3: Cross multiply
    9,384.57x = 12,950.72 × 5,847.80
  4. Step 4: Simplify right side
    9,384.57x = 75,733,158.80
  5. Step 5: Solve for x
    x = 75,733,158.80/9,384.57
  6. Step 6: Final answer
    x = 8,069.96

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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.