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Finding the Fourth Proportional to 6,211.96, 9,316.86 and 2,051.32

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Solution

The fourth proportional to 6,211.96, 9,316.86 and 2,051.32 is: 3,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.96 : 9,316.86 = 2,051.32 : x
  2. Step 2: Convert to fraction form
    6,211.96/9,316.86 = 2,051.32/x
  3. Step 3: Cross multiply
    6,211.96x = 9,316.86 × 2,051.32
  4. Step 4: Simplify right side
    6,211.96x = 19,111,861.26
  5. Step 5: Solve for x
    x = 19,111,861.26/6,211.96
  6. Step 6: Final answer
    x = 3,076.62

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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.