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Finding the Fourth Proportional to 9,292.50, 12,824.10 and 5,514.84

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Solution

The fourth proportional to 9,292.50, 12,824.10 and 5,514.84 is: 7,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.50 : 12,824.10 = 5,514.84 : x
  2. Step 2: Convert to fraction form
    9,292.50/12,824.10 = 5,514.84/x
  3. Step 3: Cross multiply
    9,292.50x = 12,824.10 × 5,514.84
  4. Step 4: Simplify right side
    9,292.50x = 70,722,859.64
  5. Step 5: Solve for x
    x = 70,722,859.64/9,292.50
  6. Step 6: Final answer
    x = 7,610.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.