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Finding the Fourth Proportional to 9,588.96, 14,380.56 and 3,744.16

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Solution

The fourth proportional to 9,588.96, 14,380.56 and 3,744.16 is: 5,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.96 : 14,380.56 = 3,744.16 : x
  2. Step 2: Convert to fraction form
    9,588.96/14,380.56 = 3,744.16/x
  3. Step 3: Cross multiply
    9,588.96x = 14,380.56 × 3,744.16
  4. Step 4: Simplify right side
    9,588.96x = 53,843,117.53
  5. Step 5: Solve for x
    x = 53,843,117.53/9,588.96
  6. Step 6: Final answer
    x = 5,615.12

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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.