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Finding the Fourth Proportional to 9,661.97, 14,493.47 and 3,087.65

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Solution

The fourth proportional to 9,661.97, 14,493.47 and 3,087.65 is: 4,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.97 : 14,493.47 = 3,087.65 : x
  2. Step 2: Convert to fraction form
    9,661.97/14,493.47 = 3,087.65/x
  3. Step 3: Cross multiply
    9,661.97x = 14,493.47 × 3,087.65
  4. Step 4: Simplify right side
    9,661.97x = 44,750,783.44
  5. Step 5: Solve for x
    x = 44,750,783.44/9,661.97
  6. Step 6: Final answer
    x = 4,631.64

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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.