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Finding the Fourth Proportional to 9,706.65, 14,556.38 and 3,464.99

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Solution

The fourth proportional to 9,706.65, 14,556.38 and 3,464.99 is: 5,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.65 : 14,556.38 = 3,464.99 : x
  2. Step 2: Convert to fraction form
    9,706.65/14,556.38 = 3,464.99/x
  3. Step 3: Cross multiply
    9,706.65x = 14,556.38 × 3,464.99
  4. Step 4: Simplify right side
    9,706.65x = 50,437,711.14
  5. Step 5: Solve for x
    x = 50,437,711.14/9,706.65
  6. Step 6: Final answer
    x = 5,196.20

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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.