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Finding the Fourth Proportional to 6,238.34, 9,354.78 and 2,340.02

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Solution

The fourth proportional to 6,238.34, 9,354.78 and 2,340.02 is: 3,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.34 : 9,354.78 = 2,340.02 : x
  2. Step 2: Convert to fraction form
    6,238.34/9,354.78 = 2,340.02/x
  3. Step 3: Cross multiply
    6,238.34x = 9,354.78 × 2,340.02
  4. Step 4: Simplify right side
    6,238.34x = 21,890,372.30
  5. Step 5: Solve for x
    x = 21,890,372.30/6,238.34
  6. Step 6: Final answer
    x = 3,509.01

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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.