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Finding the Fourth Proportional to 9,585.98, 14,381.40 and 3,662.87

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Solution

The fourth proportional to 9,585.98, 14,381.40 and 3,662.87 is: 5,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.98 : 14,381.40 = 3,662.87 : x
  2. Step 2: Convert to fraction form
    9,585.98/14,381.40 = 3,662.87/x
  3. Step 3: Cross multiply
    9,585.98x = 14,381.40 × 3,662.87
  4. Step 4: Simplify right side
    9,585.98x = 52,677,198.62
  5. Step 5: Solve for x
    x = 52,677,198.62/9,585.98
  6. Step 6: Final answer
    x = 5,495.23

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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.