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Finding the Fourth Proportional to 9,314.88, 13,972.24 and 3,768.16

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Solution

The fourth proportional to 9,314.88, 13,972.24 and 3,768.16 is: 5,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.88 : 13,972.24 = 3,768.16 : x
  2. Step 2: Convert to fraction form
    9,314.88/13,972.24 = 3,768.16/x
  3. Step 3: Cross multiply
    9,314.88x = 13,972.24 × 3,768.16
  4. Step 4: Simplify right side
    9,314.88x = 52,649,635.88
  5. Step 5: Solve for x
    x = 52,649,635.88/9,314.88
  6. Step 6: Final answer
    x = 5,652.21

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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.