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Finding the Fourth Proportional to 9,532.73, 13,153.29 and 5,993.89

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Solution

The fourth proportional to 9,532.73, 13,153.29 and 5,993.89 is: 8,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.73 : 13,153.29 = 5,993.89 : x
  2. Step 2: Convert to fraction form
    9,532.73/13,153.29 = 5,993.89/x
  3. Step 3: Cross multiply
    9,532.73x = 13,153.29 × 5,993.89
  4. Step 4: Simplify right side
    9,532.73x = 78,839,307.63
  5. Step 5: Solve for x
    x = 78,839,307.63/9,532.73
  6. Step 6: Final answer
    x = 8,270.38

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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.