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Finding the Fourth Proportional to 9,566.44, 13,201.98 and 5,790.30

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Solution

The fourth proportional to 9,566.44, 13,201.98 and 5,790.30 is: 7,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.44 : 13,201.98 = 5,790.30 : x
  2. Step 2: Convert to fraction form
    9,566.44/13,201.98 = 5,790.30/x
  3. Step 3: Cross multiply
    9,566.44x = 13,201.98 × 5,790.30
  4. Step 4: Simplify right side
    9,566.44x = 76,443,424.79
  5. Step 5: Solve for x
    x = 76,443,424.79/9,566.44
  6. Step 6: Final answer
    x = 7,990.79

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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.