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Finding the Fourth Proportional to 7,094.70, 9,793.05 and 4,113.54

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Solution

The fourth proportional to 7,094.70, 9,793.05 and 4,113.54 is: 5,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.70 : 9,793.05 = 4,113.54 : x
  2. Step 2: Convert to fraction form
    7,094.70/9,793.05 = 4,113.54/x
  3. Step 3: Cross multiply
    7,094.70x = 9,793.05 × 4,113.54
  4. Step 4: Simplify right side
    7,094.70x = 40,284,102.90
  5. Step 5: Solve for x
    x = 40,284,102.90/7,094.70
  6. Step 6: Final answer
    x = 5,678.06

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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.