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Finding the Fourth Proportional to 9,592, 13,237.50 and 5,400.52

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Solution

The fourth proportional to 9,592, 13,237.50 and 5,400.52 is: 7,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592 : 13,237.50 = 5,400.52 : x
  2. Step 2: Convert to fraction form
    9,592/13,237.50 = 5,400.52/x
  3. Step 3: Cross multiply
    9,592x = 13,237.50 × 5,400.52
  4. Step 4: Simplify right side
    9,592x = 71,489,383.50
  5. Step 5: Solve for x
    x = 71,489,383.50/9,592
  6. Step 6: Final answer
    x = 7,453.02

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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.