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Finding the Fourth Proportional to 9,231.50, 12,739.74 and 5,040.02

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Solution

The fourth proportional to 9,231.50, 12,739.74 and 5,040.02 is: 6,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.50 : 12,739.74 = 5,040.02 : x
  2. Step 2: Convert to fraction form
    9,231.50/12,739.74 = 5,040.02/x
  3. Step 3: Cross multiply
    9,231.50x = 12,739.74 × 5,040.02
  4. Step 4: Simplify right side
    9,231.50x = 64,208,544.39
  5. Step 5: Solve for x
    x = 64,208,544.39/9,231.50
  6. Step 6: Final answer
    x = 6,955.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.