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Finding the Fourth Proportional to 9,566.39, 13,200.03 and 5,533.61

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Solution

The fourth proportional to 9,566.39, 13,200.03 and 5,533.61 is: 7,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.39 : 13,200.03 = 5,533.61 : x
  2. Step 2: Convert to fraction form
    9,566.39/13,200.03 = 5,533.61/x
  3. Step 3: Cross multiply
    9,566.39x = 13,200.03 × 5,533.61
  4. Step 4: Simplify right side
    9,566.39x = 73,043,752.01
  5. Step 5: Solve for x
    x = 73,043,752.01/9,566.39
  6. Step 6: Final answer
    x = 7,635.46

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