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Finding the Fourth Proportional to 6,741.90, 9,308.16 and 4,620.96

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Solution

The fourth proportional to 6,741.90, 9,308.16 and 4,620.96 is: 6,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.90 : 9,308.16 = 4,620.96 : x
  2. Step 2: Convert to fraction form
    6,741.90/9,308.16 = 4,620.96/x
  3. Step 3: Cross multiply
    6,741.90x = 9,308.16 × 4,620.96
  4. Step 4: Simplify right side
    6,741.90x = 43,012,635.03
  5. Step 5: Solve for x
    x = 43,012,635.03/6,741.90
  6. Step 6: Final answer
    x = 6,379.90

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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.