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Finding the Fourth Proportional to 6,450.59, 9,673.37 and 3,823.45

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Solution

The fourth proportional to 6,450.59, 9,673.37 and 3,823.45 is: 5,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.59 : 9,673.37 = 3,823.45 : x
  2. Step 2: Convert to fraction form
    6,450.59/9,673.37 = 3,823.45/x
  3. Step 3: Cross multiply
    6,450.59x = 9,673.37 × 3,823.45
  4. Step 4: Simplify right side
    6,450.59x = 36,985,693.48
  5. Step 5: Solve for x
    x = 36,985,693.48/6,450.59
  6. Step 6: Final answer
    x = 5,733.69

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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.