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Finding the Fourth Proportional to 9,694.58, 14,546.19 and 5,076.50

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Solution

The fourth proportional to 9,694.58, 14,546.19 and 5,076.50 is: 7,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.58 : 14,546.19 = 5,076.50 : x
  2. Step 2: Convert to fraction form
    9,694.58/14,546.19 = 5,076.50/x
  3. Step 3: Cross multiply
    9,694.58x = 14,546.19 × 5,076.50
  4. Step 4: Simplify right side
    9,694.58x = 73,843,733.54
  5. Step 5: Solve for x
    x = 73,843,733.54/9,694.58
  6. Step 6: Final answer
    x = 7,617.01

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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.