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Finding the Fourth Proportional to 9,262.54, 13,891.65 and 2,686.96

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Solution

The fourth proportional to 9,262.54, 13,891.65 and 2,686.96 is: 4,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.54 : 13,891.65 = 2,686.96 : x
  2. Step 2: Convert to fraction form
    9,262.54/13,891.65 = 2,686.96/x
  3. Step 3: Cross multiply
    9,262.54x = 13,891.65 × 2,686.96
  4. Step 4: Simplify right side
    9,262.54x = 37,326,307.88
  5. Step 5: Solve for x
    x = 37,326,307.88/9,262.54
  6. Step 6: Final answer
    x = 4,029.81

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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.