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Finding the Fourth Proportional to 6,185.46, 9,279.54 and 2,896.77

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Solution

The fourth proportional to 6,185.46, 9,279.54 and 2,896.77 is: 4,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.46 : 9,279.54 = 2,896.77 : x
  2. Step 2: Convert to fraction form
    6,185.46/9,279.54 = 2,896.77/x
  3. Step 3: Cross multiply
    6,185.46x = 9,279.54 × 2,896.77
  4. Step 4: Simplify right side
    6,185.46x = 26,880,693.09
  5. Step 5: Solve for x
    x = 26,880,693.09/6,185.46
  6. Step 6: Final answer
    x = 4,345.79

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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.