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Finding the Fourth Proportional to 9,583.60, 14,290.76 and 8,418.38

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Solution

The fourth proportional to 9,583.60, 14,290.76 and 8,418.38 is: 12,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.60 : 14,290.76 = 8,418.38 : x
  2. Step 2: Convert to fraction form
    9,583.60/14,290.76 = 8,418.38/x
  3. Step 3: Cross multiply
    9,583.60x = 14,290.76 × 8,418.38
  4. Step 4: Simplify right side
    9,583.60x = 120,305,048.17
  5. Step 5: Solve for x
    x = 120,305,048.17/9,583.60
  6. Step 6: Final answer
    x = 12,553.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.