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Finding the Fourth Proportional to 6,676.61, 9,213.74 and 4,662.95

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Solution

The fourth proportional to 6,676.61, 9,213.74 and 4,662.95 is: 6,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.61 : 9,213.74 = 4,662.95 : x
  2. Step 2: Convert to fraction form
    6,676.61/9,213.74 = 4,662.95/x
  3. Step 3: Cross multiply
    6,676.61x = 9,213.74 × 4,662.95
  4. Step 4: Simplify right side
    6,676.61x = 42,963,139.55
  5. Step 5: Solve for x
    x = 42,963,139.55/6,676.61
  6. Step 6: Final answer
    x = 6,434.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.