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Finding the Fourth Proportional to 9,144.92, 13,709.16 and 3,300.16

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Solution

The fourth proportional to 9,144.92, 13,709.16 and 3,300.16 is: 4,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.92 : 13,709.16 = 3,300.16 : x
  2. Step 2: Convert to fraction form
    9,144.92/13,709.16 = 3,300.16/x
  3. Step 3: Cross multiply
    9,144.92x = 13,709.16 × 3,300.16
  4. Step 4: Simplify right side
    9,144.92x = 45,242,421.47
  5. Step 5: Solve for x
    x = 45,242,421.47/9,144.92
  6. Step 6: Final answer
    x = 4,947.27

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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.