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Finding the Fourth Proportional to 9,520.67, 14,290.23 and 4,593.77

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Solution

The fourth proportional to 9,520.67, 14,290.23 and 4,593.77 is: 6,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.67 : 14,290.23 = 4,593.77 : x
  2. Step 2: Convert to fraction form
    9,520.67/14,290.23 = 4,593.77/x
  3. Step 3: Cross multiply
    9,520.67x = 14,290.23 × 4,593.77
  4. Step 4: Simplify right side
    9,520.67x = 65,646,029.87
  5. Step 5: Solve for x
    x = 65,646,029.87/9,520.67
  6. Step 6: Final answer
    x = 6,895.11

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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.