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Finding the Fourth Proportional to 9,447.54, 13,036.22 and 5,669.90

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Solution

The fourth proportional to 9,447.54, 13,036.22 and 5,669.90 is: 7,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.54 : 13,036.22 = 5,669.90 : x
  2. Step 2: Convert to fraction form
    9,447.54/13,036.22 = 5,669.90/x
  3. Step 3: Cross multiply
    9,447.54x = 13,036.22 × 5,669.90
  4. Step 4: Simplify right side
    9,447.54x = 73,914,072.29
  5. Step 5: Solve for x
    x = 73,914,072.29/9,447.54
  6. Step 6: Final answer
    x = 7,823.63

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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.