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Finding the Fourth Proportional to 9,435.84, 13,021.83 and 5,244

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Solution

The fourth proportional to 9,435.84, 13,021.83 and 5,244 is: 7,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.84 : 13,021.83 = 5,244 : x
  2. Step 2: Convert to fraction form
    9,435.84/13,021.83 = 5,244/x
  3. Step 3: Cross multiply
    9,435.84x = 13,021.83 × 5,244
  4. Step 4: Simplify right side
    9,435.84x = 68,286,476.52
  5. Step 5: Solve for x
    x = 68,286,476.52/9,435.84
  6. Step 6: Final answer
    x = 7,236.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.