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Finding the Fourth Proportional to 9,137.03, 13,706.03 and 2,896.56

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Solution

The fourth proportional to 9,137.03, 13,706.03 and 2,896.56 is: 4,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.03 : 13,706.03 = 2,896.56 : x
  2. Step 2: Convert to fraction form
    9,137.03/13,706.03 = 2,896.56/x
  3. Step 3: Cross multiply
    9,137.03x = 13,706.03 × 2,896.56
  4. Step 4: Simplify right side
    9,137.03x = 39,700,329.21
  5. Step 5: Solve for x
    x = 39,700,329.21/9,137.03
  6. Step 6: Final answer
    x = 4,344.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.