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Finding the Fourth Proportional to 9,290.62, 13,938.36 and 5,391.28

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Solution

The fourth proportional to 9,290.62, 13,938.36 and 5,391.28 is: 8,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.62 : 13,938.36 = 5,391.28 : x
  2. Step 2: Convert to fraction form
    9,290.62/13,938.36 = 5,391.28/x
  3. Step 3: Cross multiply
    9,290.62x = 13,938.36 × 5,391.28
  4. Step 4: Simplify right side
    9,290.62x = 75,145,601.50
  5. Step 5: Solve for x
    x = 75,145,601.50/9,290.62
  6. Step 6: Final answer
    x = 8,088.33

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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.