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Finding the Fourth Proportional to 9,706.34, 14,555.91 and 3,464.67

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Solution

The fourth proportional to 9,706.34, 14,555.91 and 3,464.67 is: 5,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.34 : 14,555.91 = 3,464.67 : x
  2. Step 2: Convert to fraction form
    9,706.34/14,555.91 = 3,464.67/x
  3. Step 3: Cross multiply
    9,706.34x = 14,555.91 × 3,464.67
  4. Step 4: Simplify right side
    9,706.34x = 50,431,424.70
  5. Step 5: Solve for x
    x = 50,431,424.70/9,706.34
  6. Step 6: Final answer
    x = 5,195.72

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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.