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Finding the Fourth Proportional to 9,209.95, 13,818.34 and 5,514.77

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Solution

The fourth proportional to 9,209.95, 13,818.34 and 5,514.77 is: 8,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.95 : 13,818.34 = 5,514.77 : x
  2. Step 2: Convert to fraction form
    9,209.95/13,818.34 = 5,514.77/x
  3. Step 3: Cross multiply
    9,209.95x = 13,818.34 × 5,514.77
  4. Step 4: Simplify right side
    9,209.95x = 76,204,966.88
  5. Step 5: Solve for x
    x = 76,204,966.88/9,209.95
  6. Step 6: Final answer
    x = 8,274.20

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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.