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Finding the Fourth Proportional to 6,172.41, 9,278.69 and 4,953.18

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Solution

The fourth proportional to 6,172.41, 9,278.69 and 4,953.18 is: 7,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.41 : 9,278.69 = 4,953.18 : x
  2. Step 2: Convert to fraction form
    6,172.41/9,278.69 = 4,953.18/x
  3. Step 3: Cross multiply
    6,172.41x = 9,278.69 × 4,953.18
  4. Step 4: Simplify right side
    6,172.41x = 45,959,021.73
  5. Step 5: Solve for x
    x = 45,959,021.73/6,172.41
  6. Step 6: Final answer
    x = 7,445.88

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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.