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Finding the Fourth Proportional to 6,093.08, 9,130.04 and 4,709.80

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Solution

The fourth proportional to 6,093.08, 9,130.04 and 4,709.80 is: 7,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.08 : 9,130.04 = 4,709.80 : x
  2. Step 2: Convert to fraction form
    6,093.08/9,130.04 = 4,709.80/x
  3. Step 3: Cross multiply
    6,093.08x = 9,130.04 × 4,709.80
  4. Step 4: Simplify right side
    6,093.08x = 43,000,616.02
  5. Step 5: Solve for x
    x = 43,000,616.02/6,093.08
  6. Step 6: Final answer
    x = 7,057.29

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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.