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Finding the Fourth Proportional to 9,644.67, 13,298.04 and 8,053.56

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Solution

The fourth proportional to 9,644.67, 13,298.04 and 8,053.56 is: 11,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.67 : 13,298.04 = 8,053.56 : x
  2. Step 2: Convert to fraction form
    9,644.67/13,298.04 = 8,053.56/x
  3. Step 3: Cross multiply
    9,644.67x = 13,298.04 × 8,053.56
  4. Step 4: Simplify right side
    9,644.67x = 107,096,563.02
  5. Step 5: Solve for x
    x = 107,096,563.02/9,644.67
  6. Step 6: Final answer
    x = 11,104.22

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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.