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Finding the Fourth Proportional to 6,184.80, 9,278.49 and 2,024.48

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Solution

The fourth proportional to 6,184.80, 9,278.49 and 2,024.48 is: 3,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.80 : 9,278.49 = 2,024.48 : x
  2. Step 2: Convert to fraction form
    6,184.80/9,278.49 = 2,024.48/x
  3. Step 3: Cross multiply
    6,184.80x = 9,278.49 × 2,024.48
  4. Step 4: Simplify right side
    6,184.80x = 18,784,090.34
  5. Step 5: Solve for x
    x = 18,784,090.34/6,184.80
  6. Step 6: Final answer
    x = 3,037.14

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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.