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Finding the Fourth Proportional to 9,832, 13,568.16 and 5,416

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Solution

The fourth proportional to 9,832, 13,568.16 and 5,416 is: 7,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832 : 13,568.16 = 5,416 : x
  2. Step 2: Convert to fraction form
    9,832/13,568.16 = 5,416/x
  3. Step 3: Cross multiply
    9,832x = 13,568.16 × 5,416
  4. Step 4: Simplify right side
    9,832x = 73,485,154.56
  5. Step 5: Solve for x
    x = 73,485,154.56/9,832
  6. Step 6: Final answer
    x = 7,474.08

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Why These Related Problems?

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