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Finding the Fourth Proportional to 6,402.92, 9,623.90 and 4,679.24

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Solution

The fourth proportional to 6,402.92, 9,623.90 and 4,679.24 is: 7,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.92 : 9,623.90 = 4,679.24 : x
  2. Step 2: Convert to fraction form
    6,402.92/9,623.90 = 4,679.24/x
  3. Step 3: Cross multiply
    6,402.92x = 9,623.90 × 4,679.24
  4. Step 4: Simplify right side
    6,402.92x = 45,032,537.84
  5. Step 5: Solve for x
    x = 45,032,537.84/6,402.92
  6. Step 6: Final answer
    x = 7,033.13

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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.