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Finding the Fourth Proportional to 6,741.31, 9,303.08 and 3,909.35

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Solution

The fourth proportional to 6,741.31, 9,303.08 and 3,909.35 is: 5,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.31 : 9,303.08 = 3,909.35 : x
  2. Step 2: Convert to fraction form
    6,741.31/9,303.08 = 3,909.35/x
  3. Step 3: Cross multiply
    6,741.31x = 9,303.08 × 3,909.35
  4. Step 4: Simplify right side
    6,741.31x = 36,368,995.80
  5. Step 5: Solve for x
    x = 36,368,995.80/6,741.31
  6. Step 6: Final answer
    x = 5,394.94

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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.