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Finding the Fourth Proportional to 9,012.63, 13,514.07 and 2,770.77

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Solution

The fourth proportional to 9,012.63, 13,514.07 and 2,770.77 is: 4,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.63 : 13,514.07 = 2,770.77 : x
  2. Step 2: Convert to fraction form
    9,012.63/13,514.07 = 2,770.77/x
  3. Step 3: Cross multiply
    9,012.63x = 13,514.07 × 2,770.77
  4. Step 4: Simplify right side
    9,012.63x = 37,444,379.73
  5. Step 5: Solve for x
    x = 37,444,379.73/9,012.63
  6. Step 6: Final answer
    x = 4,154.66

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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.