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Finding the Fourth Proportional to 9,570.58, 13,220.03 and 7,982.42

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Solution

The fourth proportional to 9,570.58, 13,220.03 and 7,982.42 is: 11,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.58 : 13,220.03 = 7,982.42 : x
  2. Step 2: Convert to fraction form
    9,570.58/13,220.03 = 7,982.42/x
  3. Step 3: Cross multiply
    9,570.58x = 13,220.03 × 7,982.42
  4. Step 4: Simplify right side
    9,570.58x = 105,527,785.73
  5. Step 5: Solve for x
    x = 105,527,785.73/9,570.58
  6. Step 6: Final answer
    x = 11,026.27

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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.