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Finding the Fourth Proportional to 9,566.45, 13,201.47 and 5,532.98

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Solution

The fourth proportional to 9,566.45, 13,201.47 and 5,532.98 is: 7,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.45 : 13,201.47 = 5,532.98 : x
  2. Step 2: Convert to fraction form
    9,566.45/13,201.47 = 5,532.98/x
  3. Step 3: Cross multiply
    9,566.45x = 13,201.47 × 5,532.98
  4. Step 4: Simplify right side
    9,566.45x = 73,043,403.47
  5. Step 5: Solve for x
    x = 73,043,403.47/9,566.45
  6. Step 6: Final answer
    x = 7,635.38

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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.