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Finding the Fourth Proportional to 9,302.53, 13,953.87 and 2,728.82

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Solution

The fourth proportional to 9,302.53, 13,953.87 and 2,728.82 is: 4,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.53 : 13,953.87 = 2,728.82 : x
  2. Step 2: Convert to fraction form
    9,302.53/13,953.87 = 2,728.82/x
  3. Step 3: Cross multiply
    9,302.53x = 13,953.87 × 2,728.82
  4. Step 4: Simplify right side
    9,302.53x = 38,077,571.86
  5. Step 5: Solve for x
    x = 38,077,571.86/9,302.53
  6. Step 6: Final answer
    x = 4,093.25

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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.