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Finding the Fourth Proportional to 9,282.58, 13,923.66 and 2,262.63

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Solution

The fourth proportional to 9,282.58, 13,923.66 and 2,262.63 is: 3,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.58 : 13,923.66 = 2,262.63 : x
  2. Step 2: Convert to fraction form
    9,282.58/13,923.66 = 2,262.63/x
  3. Step 3: Cross multiply
    9,282.58x = 13,923.66 × 2,262.63
  4. Step 4: Simplify right side
    9,282.58x = 31,504,090.83
  5. Step 5: Solve for x
    x = 31,504,090.83/9,282.58
  6. Step 6: Final answer
    x = 3,393.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.