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Finding the Fourth Proportional to 6,982.41, 9,632.01 and 5,301.03

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Solution

The fourth proportional to 6,982.41, 9,632.01 and 5,301.03 is: 7,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.41 : 9,632.01 = 5,301.03 : x
  2. Step 2: Convert to fraction form
    6,982.41/9,632.01 = 5,301.03/x
  3. Step 3: Cross multiply
    6,982.41x = 9,632.01 × 5,301.03
  4. Step 4: Simplify right side
    6,982.41x = 51,059,573.97
  5. Step 5: Solve for x
    x = 51,059,573.97/6,982.41
  6. Step 6: Final answer
    x = 7,312.60

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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.