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Finding the Fourth Proportional to 9,794.46, 14,688.57 and 3,219.12

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Solution

The fourth proportional to 9,794.46, 14,688.57 and 3,219.12 is: 4,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.46 : 14,688.57 = 3,219.12 : x
  2. Step 2: Convert to fraction form
    9,794.46/14,688.57 = 3,219.12/x
  3. Step 3: Cross multiply
    9,794.46x = 14,688.57 × 3,219.12
  4. Step 4: Simplify right side
    9,794.46x = 47,284,269.46
  5. Step 5: Solve for x
    x = 47,284,269.46/9,794.46
  6. Step 6: Final answer
    x = 4,827.65

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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.