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Finding the Fourth Proportional to 9,566.22, 13,200.44 and 5,586.80

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Solution

The fourth proportional to 9,566.22, 13,200.44 and 5,586.80 is: 7,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.22 : 13,200.44 = 5,586.80 : x
  2. Step 2: Convert to fraction form
    9,566.22/13,200.44 = 5,586.80/x
  3. Step 3: Cross multiply
    9,566.22x = 13,200.44 × 5,586.80
  4. Step 4: Simplify right side
    9,566.22x = 73,748,218.19
  5. Step 5: Solve for x
    x = 73,748,218.19/9,566.22
  6. Step 6: Final answer
    x = 7,709.23

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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.