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Finding the Fourth Proportional to 9,136.50, 13,696.53 and 3,289

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Solution

The fourth proportional to 9,136.50, 13,696.53 and 3,289 is: 4,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.50 : 13,696.53 = 3,289 : x
  2. Step 2: Convert to fraction form
    9,136.50/13,696.53 = 3,289/x
  3. Step 3: Cross multiply
    9,136.50x = 13,696.53 × 3,289
  4. Step 4: Simplify right side
    9,136.50x = 45,047,887.17
  5. Step 5: Solve for x
    x = 45,047,887.17/9,136.50
  6. Step 6: Final answer
    x = 4,930.54

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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.