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Finding the Fourth Proportional to 6,040.64, 9,094.41 and 4,731.41

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Solution

The fourth proportional to 6,040.64, 9,094.41 and 4,731.41 is: 7,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040.64 : 9,094.41 = 4,731.41 : x
  2. Step 2: Convert to fraction form
    6,040.64/9,094.41 = 4,731.41/x
  3. Step 3: Cross multiply
    6,040.64x = 9,094.41 × 4,731.41
  4. Step 4: Simplify right side
    6,040.64x = 43,029,382.42
  5. Step 5: Solve for x
    x = 43,029,382.42/6,040.64
  6. Step 6: Final answer
    x = 7,123.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.