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Finding the Fourth Proportional to 9,152.46, 13,728.87 and 3,604.50

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Solution

The fourth proportional to 9,152.46, 13,728.87 and 3,604.50 is: 5,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.46 : 13,728.87 = 3,604.50 : x
  2. Step 2: Convert to fraction form
    9,152.46/13,728.87 = 3,604.50/x
  3. Step 3: Cross multiply
    9,152.46x = 13,728.87 × 3,604.50
  4. Step 4: Simplify right side
    9,152.46x = 49,485,711.92
  5. Step 5: Solve for x
    x = 49,485,711.92/9,152.46
  6. Step 6: Final answer
    x = 5,406.82

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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.