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Finding the Fourth Proportional to 6,178.47, 9,256.05 and 3,054.85

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Solution

The fourth proportional to 6,178.47, 9,256.05 and 3,054.85 is: 4,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.47 : 9,256.05 = 3,054.85 : x
  2. Step 2: Convert to fraction form
    6,178.47/9,256.05 = 3,054.85/x
  3. Step 3: Cross multiply
    6,178.47x = 9,256.05 × 3,054.85
  4. Step 4: Simplify right side
    6,178.47x = 28,275,844.34
  5. Step 5: Solve for x
    x = 28,275,844.34/6,178.47
  6. Step 6: Final answer
    x = 4,576.51

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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.