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Finding the Fourth Proportional to 9,572.14, 13,209.72 and 5,265.43

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Solution

The fourth proportional to 9,572.14, 13,209.72 and 5,265.43 is: 7,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.14 : 13,209.72 = 5,265.43 : x
  2. Step 2: Convert to fraction form
    9,572.14/13,209.72 = 5,265.43/x
  3. Step 3: Cross multiply
    9,572.14x = 13,209.72 × 5,265.43
  4. Step 4: Simplify right side
    9,572.14x = 69,554,855.98
  5. Step 5: Solve for x
    x = 69,554,855.98/9,572.14
  6. Step 6: Final answer
    x = 7,266.39

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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.