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Finding the Fourth Proportional to 9,326, 13,991.16 and 6,724.28

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Solution

The fourth proportional to 9,326, 13,991.16 and 6,724.28 is: 10,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326 : 13,991.16 = 6,724.28 : x
  2. Step 2: Convert to fraction form
    9,326/13,991.16 = 6,724.28/x
  3. Step 3: Cross multiply
    9,326x = 13,991.16 × 6,724.28
  4. Step 4: Simplify right side
    9,326x = 94,080,477.36
  5. Step 5: Solve for x
    x = 94,080,477.36/9,326
  6. Step 6: Final answer
    x = 10,087.98

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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.