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Finding the Fourth Proportional to 9,425.80, 14,135.42 and 4,744

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Solution

The fourth proportional to 9,425.80, 14,135.42 and 4,744 is: 7,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.80 : 14,135.42 = 4,744 : x
  2. Step 2: Convert to fraction form
    9,425.80/14,135.42 = 4,744/x
  3. Step 3: Cross multiply
    9,425.80x = 14,135.42 × 4,744
  4. Step 4: Simplify right side
    9,425.80x = 67,058,432.48
  5. Step 5: Solve for x
    x = 67,058,432.48/9,425.80
  6. Step 6: Final answer
    x = 7,114.35

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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.