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Finding the Fourth Proportional to 9,104.86, 13,658.73 and 3,261.34

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Solution

The fourth proportional to 9,104.86, 13,658.73 and 3,261.34 is: 4,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.86 : 13,658.73 = 3,261.34 : x
  2. Step 2: Convert to fraction form
    9,104.86/13,658.73 = 3,261.34/x
  3. Step 3: Cross multiply
    9,104.86x = 13,658.73 × 3,261.34
  4. Step 4: Simplify right side
    9,104.86x = 44,545,762.50
  5. Step 5: Solve for x
    x = 44,545,762.50/9,104.86
  6. Step 6: Final answer
    x = 4,892.53

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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.