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Finding the Fourth Proportional to 9,661, 14,493.54 and 3,087.88

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Solution

The fourth proportional to 9,661, 14,493.54 and 3,087.88 is: 4,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661 : 14,493.54 = 3,087.88 : x
  2. Step 2: Convert to fraction form
    9,661/14,493.54 = 3,087.88/x
  3. Step 3: Cross multiply
    9,661x = 14,493.54 × 3,087.88
  4. Step 4: Simplify right side
    9,661x = 44,754,312.30
  5. Step 5: Solve for x
    x = 44,754,312.30/9,661
  6. Step 6: Final answer
    x = 4,632.47

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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.