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Finding the Fourth Proportional to 9,588.96, 14,379.76 and 3,744.80

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Solution

The fourth proportional to 9,588.96, 14,379.76 and 3,744.80 is: 5,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.96 : 14,379.76 = 3,744.80 : x
  2. Step 2: Convert to fraction form
    9,588.96/14,379.76 = 3,744.80/x
  3. Step 3: Cross multiply
    9,588.96x = 14,379.76 × 3,744.80
  4. Step 4: Simplify right side
    9,588.96x = 53,849,325.25
  5. Step 5: Solve for x
    x = 53,849,325.25/9,588.96
  6. Step 6: Final answer
    x = 5,615.76

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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.