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Finding the Fourth Proportional to 9,141.94, 13,701.69 and 5,196.50

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Solution

The fourth proportional to 9,141.94, 13,701.69 and 5,196.50 is: 7,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.94 : 13,701.69 = 5,196.50 : x
  2. Step 2: Convert to fraction form
    9,141.94/13,701.69 = 5,196.50/x
  3. Step 3: Cross multiply
    9,141.94x = 13,701.69 × 5,196.50
  4. Step 4: Simplify right side
    9,141.94x = 71,200,794.36
  5. Step 5: Solve for x
    x = 71,200,794.36/9,141.94
  6. Step 6: Final answer
    x = 7,788.37

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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.