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Finding the Fourth Proportional to 9,281.58, 13,922.17 and 2,261.63

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Solution

The fourth proportional to 9,281.58, 13,922.17 and 2,261.63 is: 3,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.58 : 13,922.17 = 2,261.63 : x
  2. Step 2: Convert to fraction form
    9,281.58/13,922.17 = 2,261.63/x
  3. Step 3: Cross multiply
    9,281.58x = 13,922.17 × 2,261.63
  4. Step 4: Simplify right side
    9,281.58x = 31,486,716.42
  5. Step 5: Solve for x
    x = 31,486,716.42/9,281.58
  6. Step 6: Final answer
    x = 3,392.39

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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.