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Finding the Fourth Proportional to 6,242.33, 9,354.81 and 4,849.31

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Solution

The fourth proportional to 6,242.33, 9,354.81 and 4,849.31 is: 7,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.33 : 9,354.81 = 4,849.31 : x
  2. Step 2: Convert to fraction form
    6,242.33/9,354.81 = 4,849.31/x
  3. Step 3: Cross multiply
    6,242.33x = 9,354.81 × 4,849.31
  4. Step 4: Simplify right side
    6,242.33x = 45,364,373.68
  5. Step 5: Solve for x
    x = 45,364,373.68/6,242.33
  6. Step 6: Final answer
    x = 7,267.22

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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.