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Finding the Fourth Proportional to 9,544.54, 13,172.63 and 5,511.35

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Solution

The fourth proportional to 9,544.54, 13,172.63 and 5,511.35 is: 7,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.54 : 13,172.63 = 5,511.35 : x
  2. Step 2: Convert to fraction form
    9,544.54/13,172.63 = 5,511.35/x
  3. Step 3: Cross multiply
    9,544.54x = 13,172.63 × 5,511.35
  4. Step 4: Simplify right side
    9,544.54x = 72,599,035.43
  5. Step 5: Solve for x
    x = 72,599,035.43/9,544.54
  6. Step 6: Final answer
    x = 7,606.34

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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.