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Finding the Fourth Proportional to 9,553.76, 13,182.72 and 5,361.20

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Solution

The fourth proportional to 9,553.76, 13,182.72 and 5,361.20 is: 7,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.76 : 13,182.72 = 5,361.20 : x
  2. Step 2: Convert to fraction form
    9,553.76/13,182.72 = 5,361.20/x
  3. Step 3: Cross multiply
    9,553.76x = 13,182.72 × 5,361.20
  4. Step 4: Simplify right side
    9,553.76x = 70,675,198.46
  5. Step 5: Solve for x
    x = 70,675,198.46/9,553.76
  6. Step 6: Final answer
    x = 7,397.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.