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Finding the Fourth Proportional to 9,272.54, 13,907.31 and 3,032.49

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Solution

The fourth proportional to 9,272.54, 13,907.31 and 3,032.49 is: 4,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.54 : 13,907.31 = 3,032.49 : x
  2. Step 2: Convert to fraction form
    9,272.54/13,907.31 = 3,032.49/x
  3. Step 3: Cross multiply
    9,272.54x = 13,907.31 × 3,032.49
  4. Step 4: Simplify right side
    9,272.54x = 42,173,778.50
  5. Step 5: Solve for x
    x = 42,173,778.50/9,272.54
  6. Step 6: Final answer
    x = 4,548.25

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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.