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Finding the Fourth Proportional to 9,713.64, 14,575.02 and 4,787.44

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Solution

The fourth proportional to 9,713.64, 14,575.02 and 4,787.44 is: 7,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.64 : 14,575.02 = 4,787.44 : x
  2. Step 2: Convert to fraction form
    9,713.64/14,575.02 = 4,787.44/x
  3. Step 3: Cross multiply
    9,713.64x = 14,575.02 × 4,787.44
  4. Step 4: Simplify right side
    9,713.64x = 69,777,033.75
  5. Step 5: Solve for x
    x = 69,777,033.75/9,713.64
  6. Step 6: Final answer
    x = 7,183.41

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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.