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Finding the Fourth Proportional to 9,281.76, 13,922.63 and 2,261.77

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Solution

The fourth proportional to 9,281.76, 13,922.63 and 2,261.77 is: 3,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.76 : 13,922.63 = 2,261.77 : x
  2. Step 2: Convert to fraction form
    9,281.76/13,922.63 = 2,261.77/x
  3. Step 3: Cross multiply
    9,281.76x = 13,922.63 × 2,261.77
  4. Step 4: Simplify right side
    9,281.76x = 31,489,786.86
  5. Step 5: Solve for x
    x = 31,489,786.86/9,281.76
  6. Step 6: Final answer
    x = 3,392.65

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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.