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Finding the Fourth Proportional to 9,644.80, 13,294.44 and 7,873.36

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Solution

The fourth proportional to 9,644.80, 13,294.44 and 7,873.36 is: 10,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.80 : 13,294.44 = 7,873.36 : x
  2. Step 2: Convert to fraction form
    9,644.80/13,294.44 = 7,873.36/x
  3. Step 3: Cross multiply
    9,644.80x = 13,294.44 × 7,873.36
  4. Step 4: Simplify right side
    9,644.80x = 104,671,912.12
  5. Step 5: Solve for x
    x = 104,671,912.12/9,644.80
  6. Step 6: Final answer
    x = 10,852.68

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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.