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Finding the Fourth Proportional to 6,185.34, 9,278.32 and 2,024.98

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Solution

The fourth proportional to 6,185.34, 9,278.32 and 2,024.98 is: 3,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.34 : 9,278.32 = 2,024.98 : x
  2. Step 2: Convert to fraction form
    6,185.34/9,278.32 = 2,024.98/x
  3. Step 3: Cross multiply
    6,185.34x = 9,278.32 × 2,024.98
  4. Step 4: Simplify right side
    6,185.34x = 18,788,412.43
  5. Step 5: Solve for x
    x = 18,788,412.43/6,185.34
  6. Step 6: Final answer
    x = 3,037.57

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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.