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Finding the Fourth Proportional to 9,299.94, 13,938.04 and 4,358.69

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Solution

The fourth proportional to 9,299.94, 13,938.04 and 4,358.69 is: 6,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.94 : 13,938.04 = 4,358.69 : x
  2. Step 2: Convert to fraction form
    9,299.94/13,938.04 = 4,358.69/x
  3. Step 3: Cross multiply
    9,299.94x = 13,938.04 × 4,358.69
  4. Step 4: Simplify right side
    9,299.94x = 60,751,619.52
  5. Step 5: Solve for x
    x = 60,751,619.52/9,299.94
  6. Step 6: Final answer
    x = 6,532.47

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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.