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Finding the Fourth Proportional to 9,504, 13,122 and 5,784.48

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Solution

The fourth proportional to 9,504, 13,122 and 5,784.48 is: 7,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 13,122 = 5,784.48 : x
  2. Step 2: Convert to fraction form
    9,504/13,122 = 5,784.48/x
  3. Step 3: Cross multiply
    9,504x = 13,122 × 5,784.48
  4. Step 4: Simplify right side
    9,504x = 75,903,946.56
  5. Step 5: Solve for x
    x = 75,903,946.56/9,504
  6. Step 6: Final answer
    x = 7,986.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.