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Finding the Fourth Proportional to 9,021.85, 12,438.77 and 5,829.77

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Solution

The fourth proportional to 9,021.85, 12,438.77 and 5,829.77 is: 8,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.85 : 12,438.77 = 5,829.77 : x
  2. Step 2: Convert to fraction form
    9,021.85/12,438.77 = 5,829.77/x
  3. Step 3: Cross multiply
    9,021.85x = 12,438.77 × 5,829.77
  4. Step 4: Simplify right side
    9,021.85x = 72,515,170.13
  5. Step 5: Solve for x
    x = 72,515,170.13/9,021.85
  6. Step 6: Final answer
    x = 8,037.73

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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.