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Finding the Fourth Proportional to 9,131.01, 13,688.28 and 3,283.50

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Solution

The fourth proportional to 9,131.01, 13,688.28 and 3,283.50 is: 4,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.01 : 13,688.28 = 3,283.50 : x
  2. Step 2: Convert to fraction form
    9,131.01/13,688.28 = 3,283.50/x
  3. Step 3: Cross multiply
    9,131.01x = 13,688.28 × 3,283.50
  4. Step 4: Simplify right side
    9,131.01x = 44,945,467.38
  5. Step 5: Solve for x
    x = 44,945,467.38/9,131.01
  6. Step 6: Final answer
    x = 4,922.29

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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.