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Finding the Fourth Proportional to 9,679.88, 14,516.64 and 3,104.50

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Solution

The fourth proportional to 9,679.88, 14,516.64 and 3,104.50 is: 4,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.88 : 14,516.64 = 3,104.50 : x
  2. Step 2: Convert to fraction form
    9,679.88/14,516.64 = 3,104.50/x
  3. Step 3: Cross multiply
    9,679.88x = 14,516.64 × 3,104.50
  4. Step 4: Simplify right side
    9,679.88x = 45,066,908.88
  5. Step 5: Solve for x
    x = 45,066,908.88/9,679.88
  6. Step 6: Final answer
    x = 4,655.73

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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.