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Finding the Fourth Proportional to 6,309.40, 9,459.48 and 3,187.96

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Solution

The fourth proportional to 6,309.40, 9,459.48 and 3,187.96 is: 4,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.40 : 9,459.48 = 3,187.96 : x
  2. Step 2: Convert to fraction form
    6,309.40/9,459.48 = 3,187.96/x
  3. Step 3: Cross multiply
    6,309.40x = 9,459.48 × 3,187.96
  4. Step 4: Simplify right side
    6,309.40x = 30,156,443.86
  5. Step 5: Solve for x
    x = 30,156,443.86/6,309.40
  6. Step 6: Final answer
    x = 4,779.61

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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.