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Finding the Fourth Proportional to 6,763.67, 9,336.74 and 4,111.92

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Solution

The fourth proportional to 6,763.67, 9,336.74 and 4,111.92 is: 5,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.67 : 9,336.74 = 4,111.92 : x
  2. Step 2: Convert to fraction form
    6,763.67/9,336.74 = 4,111.92/x
  3. Step 3: Cross multiply
    6,763.67x = 9,336.74 × 4,111.92
  4. Step 4: Simplify right side
    6,763.67x = 38,391,950.10
  5. Step 5: Solve for x
    x = 38,391,950.10/6,763.67
  6. Step 6: Final answer
    x = 5,676.20

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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.