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Finding the Fourth Proportional to 9,630.64, 13,274.40 and 6,442.79

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Solution

The fourth proportional to 9,630.64, 13,274.40 and 6,442.79 is: 8,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.64 : 13,274.40 = 6,442.79 : x
  2. Step 2: Convert to fraction form
    9,630.64/13,274.40 = 6,442.79/x
  3. Step 3: Cross multiply
    9,630.64x = 13,274.40 × 6,442.79
  4. Step 4: Simplify right side
    9,630.64x = 85,524,171.58
  5. Step 5: Solve for x
    x = 85,524,171.58/9,630.64
  6. Step 6: Final answer
    x = 8,880.42

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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.