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Finding the Fourth Proportional to 9,076.25, 13,615.24 and 3,530.02

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Solution

The fourth proportional to 9,076.25, 13,615.24 and 3,530.02 is: 5,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.25 : 13,615.24 = 3,530.02 : x
  2. Step 2: Convert to fraction form
    9,076.25/13,615.24 = 3,530.02/x
  3. Step 3: Cross multiply
    9,076.25x = 13,615.24 × 3,530.02
  4. Step 4: Simplify right side
    9,076.25x = 48,062,069.50
  5. Step 5: Solve for x
    x = 48,062,069.50/9,076.25
  6. Step 6: Final answer
    x = 5,295.37

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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.