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Finding the Fourth Proportional to 9,157.89, 13,733.52 and 3,893.25

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Solution

The fourth proportional to 9,157.89, 13,733.52 and 3,893.25 is: 5,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.89 : 13,733.52 = 3,893.25 : x
  2. Step 2: Convert to fraction form
    9,157.89/13,733.52 = 3,893.25/x
  3. Step 3: Cross multiply
    9,157.89x = 13,733.52 × 3,893.25
  4. Step 4: Simplify right side
    9,157.89x = 53,468,026.74
  5. Step 5: Solve for x
    x = 53,468,026.74/9,157.89
  6. Step 6: Final answer
    x = 5,838.47

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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.