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Finding the Fourth Proportional to 9,908.64, 14,854.88 and 3,664.64

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Solution

The fourth proportional to 9,908.64, 14,854.88 and 3,664.64 is: 5,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.64 : 14,854.88 = 3,664.64 : x
  2. Step 2: Convert to fraction form
    9,908.64/14,854.88 = 3,664.64/x
  3. Step 3: Cross multiply
    9,908.64x = 14,854.88 × 3,664.64
  4. Step 4: Simplify right side
    9,908.64x = 54,437,787.44
  5. Step 5: Solve for x
    x = 54,437,787.44/9,908.64
  6. Step 6: Final answer
    x = 5,493.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.