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Finding the Fourth Proportional to 9,736, 13,435.68 and 5,544.64

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Solution

The fourth proportional to 9,736, 13,435.68 and 5,544.64 is: 7,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736 : 13,435.68 = 5,544.64 : x
  2. Step 2: Convert to fraction form
    9,736/13,435.68 = 5,544.64/x
  3. Step 3: Cross multiply
    9,736x = 13,435.68 × 5,544.64
  4. Step 4: Simplify right side
    9,736x = 74,496,008.76
  5. Step 5: Solve for x
    x = 74,496,008.76/9,736
  6. Step 6: Final answer
    x = 7,651.60

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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.