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Finding the Fourth Proportional to 9,755.52, 14,623 and 4,207.56

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Solution

The fourth proportional to 9,755.52, 14,623 and 4,207.56 is: 6,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.52 : 14,623 = 4,207.56 : x
  2. Step 2: Convert to fraction form
    9,755.52/14,623 = 4,207.56/x
  3. Step 3: Cross multiply
    9,755.52x = 14,623 × 4,207.56
  4. Step 4: Simplify right side
    9,755.52x = 61,527,149.88
  5. Step 5: Solve for x
    x = 61,527,149.88/9,755.52
  6. Step 6: Final answer
    x = 6,306.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.