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Finding the Fourth Proportional to 9,588.42, 14,383.62 and 2,662.92

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Solution

The fourth proportional to 9,588.42, 14,383.62 and 2,662.92 is: 3,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.42 : 14,383.62 = 2,662.92 : x
  2. Step 2: Convert to fraction form
    9,588.42/14,383.62 = 2,662.92/x
  3. Step 3: Cross multiply
    9,588.42x = 14,383.62 × 2,662.92
  4. Step 4: Simplify right side
    9,588.42x = 38,302,429.37
  5. Step 5: Solve for x
    x = 38,302,429.37/9,588.42
  6. Step 6: Final answer
    x = 3,994.65

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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.