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Finding the Fourth Proportional to 9,815.22, 14,722.83 and 4,621.50

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Solution

The fourth proportional to 9,815.22, 14,722.83 and 4,621.50 is: 6,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.22 : 14,722.83 = 4,621.50 : x
  2. Step 2: Convert to fraction form
    9,815.22/14,722.83 = 4,621.50/x
  3. Step 3: Cross multiply
    9,815.22x = 14,722.83 × 4,621.50
  4. Step 4: Simplify right side
    9,815.22x = 68,041,558.85
  5. Step 5: Solve for x
    x = 68,041,558.85/9,815.22
  6. Step 6: Final answer
    x = 6,932.25

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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.