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Finding the Fourth Proportional to 9,940.59, 14,912.70 and 4,094.01

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Solution

The fourth proportional to 9,940.59, 14,912.70 and 4,094.01 is: 6,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.59 : 14,912.70 = 4,094.01 : x
  2. Step 2: Convert to fraction form
    9,940.59/14,912.70 = 4,094.01/x
  3. Step 3: Cross multiply
    9,940.59x = 14,912.70 × 4,094.01
  4. Step 4: Simplify right side
    9,940.59x = 61,052,742.93
  5. Step 5: Solve for x
    x = 61,052,742.93/9,940.59
  6. Step 6: Final answer
    x = 6,141.76

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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.