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Finding the Fourth Proportional to 9,544, 13,170.72 and 5,511.64

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Solution

The fourth proportional to 9,544, 13,170.72 and 5,511.64 is: 7,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544 : 13,170.72 = 5,511.64 : x
  2. Step 2: Convert to fraction form
    9,544/13,170.72 = 5,511.64/x
  3. Step 3: Cross multiply
    9,544x = 13,170.72 × 5,511.64
  4. Step 4: Simplify right side
    9,544x = 72,592,267.18
  5. Step 5: Solve for x
    x = 72,592,267.18/9,544
  6. Step 6: Final answer
    x = 7,606.06

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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.