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Finding the Fourth Proportional to 6,185.29, 9,278.93 and 2,024.32

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Solution

The fourth proportional to 6,185.29, 9,278.93 and 2,024.32 is: 3,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.29 : 9,278.93 = 2,024.32 : x
  2. Step 2: Convert to fraction form
    6,185.29/9,278.93 = 2,024.32/x
  3. Step 3: Cross multiply
    6,185.29x = 9,278.93 × 2,024.32
  4. Step 4: Simplify right side
    6,185.29x = 18,783,513.46
  5. Step 5: Solve for x
    x = 18,783,513.46/6,185.29
  6. Step 6: Final answer
    x = 3,036.80

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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.