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Finding the Fourth Proportional to 9,804.25, 14,723.79 and 9,022.60

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Solution

The fourth proportional to 9,804.25, 14,723.79 and 9,022.60 is: 13,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.25 : 14,723.79 = 9,022.60 : x
  2. Step 2: Convert to fraction form
    9,804.25/14,723.79 = 9,022.60/x
  3. Step 3: Cross multiply
    9,804.25x = 14,723.79 × 9,022.60
  4. Step 4: Simplify right side
    9,804.25x = 132,846,867.65
  5. Step 5: Solve for x
    x = 132,846,867.65/9,804.25
  6. Step 6: Final answer
    x = 13,549.93

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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.