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Finding the Fourth Proportional to 9,722.76, 14,584.44 and 3,148.98

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Solution

The fourth proportional to 9,722.76, 14,584.44 and 3,148.98 is: 4,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.76 : 14,584.44 = 3,148.98 : x
  2. Step 2: Convert to fraction form
    9,722.76/14,584.44 = 3,148.98/x
  3. Step 3: Cross multiply
    9,722.76x = 14,584.44 × 3,148.98
  4. Step 4: Simplify right side
    9,722.76x = 45,926,109.87
  5. Step 5: Solve for x
    x = 45,926,109.87/9,722.76
  6. Step 6: Final answer
    x = 4,723.57

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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.