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Finding the Fourth Proportional to 9,815.50, 14,729.73 and 4,621.78

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Solution

The fourth proportional to 9,815.50, 14,729.73 and 4,621.78 is: 6,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.50 : 14,729.73 = 4,621.78 : x
  2. Step 2: Convert to fraction form
    9,815.50/14,729.73 = 4,621.78/x
  3. Step 3: Cross multiply
    9,815.50x = 14,729.73 × 4,621.78
  4. Step 4: Simplify right side
    9,815.50x = 68,077,571.52
  5. Step 5: Solve for x
    x = 68,077,571.52/9,815.50
  6. Step 6: Final answer
    x = 6,935.72

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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.