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Finding the Fourth Proportional to 6,336.16, 9,502.56 and 2,438.40

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Solution

The fourth proportional to 6,336.16, 9,502.56 and 2,438.40 is: 3,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.16 : 9,502.56 = 2,438.40 : x
  2. Step 2: Convert to fraction form
    6,336.16/9,502.56 = 2,438.40/x
  3. Step 3: Cross multiply
    6,336.16x = 9,502.56 × 2,438.40
  4. Step 4: Simplify right side
    6,336.16x = 23,171,042.30
  5. Step 5: Solve for x
    x = 23,171,042.30/6,336.16
  6. Step 6: Final answer
    x = 3,656.95

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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.