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Finding the Fourth Proportional to 9,099.86, 13,649.80 and 5,021.78

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Solution

The fourth proportional to 9,099.86, 13,649.80 and 5,021.78 is: 7,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.86 : 13,649.80 = 5,021.78 : x
  2. Step 2: Convert to fraction form
    9,099.86/13,649.80 = 5,021.78/x
  3. Step 3: Cross multiply
    9,099.86x = 13,649.80 × 5,021.78
  4. Step 4: Simplify right side
    9,099.86x = 68,546,292.64
  5. Step 5: Solve for x
    x = 68,546,292.64/9,099.86
  6. Step 6: Final answer
    x = 7,532.68

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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.