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Finding the Fourth Proportional to 9,738.24, 14,592 and 5,844.48

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Solution

The fourth proportional to 9,738.24, 14,592 and 5,844.48 is: 8,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.24 : 14,592 = 5,844.48 : x
  2. Step 2: Convert to fraction form
    9,738.24/14,592 = 5,844.48/x
  3. Step 3: Cross multiply
    9,738.24x = 14,592 × 5,844.48
  4. Step 4: Simplify right side
    9,738.24x = 85,282,652.16
  5. Step 5: Solve for x
    x = 85,282,652.16/9,738.24
  6. Step 6: Final answer
    x = 8,757.50

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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.