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Finding the Fourth Proportional to 9,024.89, 13,524.98 and 5,078.07

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Solution

The fourth proportional to 9,024.89, 13,524.98 and 5,078.07 is: 7,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.89 : 13,524.98 = 5,078.07 : x
  2. Step 2: Convert to fraction form
    9,024.89/13,524.98 = 5,078.07/x
  3. Step 3: Cross multiply
    9,024.89x = 13,524.98 × 5,078.07
  4. Step 4: Simplify right side
    9,024.89x = 68,680,769.80
  5. Step 5: Solve for x
    x = 68,680,769.80/9,024.89
  6. Step 6: Final answer
    x = 7,610.15

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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.