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Finding the Fourth Proportional to 6,094.44, 9,158.06 and 5,914.01

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Solution

The fourth proportional to 6,094.44, 9,158.06 and 5,914.01 is: 8,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.44 : 9,158.06 = 5,914.01 : x
  2. Step 2: Convert to fraction form
    6,094.44/9,158.06 = 5,914.01/x
  3. Step 3: Cross multiply
    6,094.44x = 9,158.06 × 5,914.01
  4. Step 4: Simplify right side
    6,094.44x = 54,160,896.10
  5. Step 5: Solve for x
    x = 54,160,896.10/6,094.44
  6. Step 6: Final answer
    x = 8,886.94

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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.