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Finding the Fourth Proportional to 7,135.38, 9,843.50 and 4,618.30

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Solution

The fourth proportional to 7,135.38, 9,843.50 and 4,618.30 is: 6,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.38 : 9,843.50 = 4,618.30 : x
  2. Step 2: Convert to fraction form
    7,135.38/9,843.50 = 4,618.30/x
  3. Step 3: Cross multiply
    7,135.38x = 9,843.50 × 4,618.30
  4. Step 4: Simplify right side
    7,135.38x = 45,460,236.05
  5. Step 5: Solve for x
    x = 45,460,236.05/7,135.38
  6. Step 6: Final answer
    x = 6,371.10

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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.