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Finding the Fourth Proportional to 6,519.50, 9,004.34 and 4,419.98

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Solution

The fourth proportional to 6,519.50, 9,004.34 and 4,419.98 is: 6,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.50 : 9,004.34 = 4,419.98 : x
  2. Step 2: Convert to fraction form
    6,519.50/9,004.34 = 4,419.98/x
  3. Step 3: Cross multiply
    6,519.50x = 9,004.34 × 4,419.98
  4. Step 4: Simplify right side
    6,519.50x = 39,799,002.71
  5. Step 5: Solve for x
    x = 39,799,002.71/6,519.50
  6. Step 6: Final answer
    x = 6,104.61

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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.