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Finding the Fourth Proportional to 6,343.33, 9,503.13 and 5,309.97

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Solution

The fourth proportional to 6,343.33, 9,503.13 and 5,309.97 is: 7,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.33 : 9,503.13 = 5,309.97 : x
  2. Step 2: Convert to fraction form
    6,343.33/9,503.13 = 5,309.97/x
  3. Step 3: Cross multiply
    6,343.33x = 9,503.13 × 5,309.97
  4. Step 4: Simplify right side
    6,343.33x = 50,461,335.21
  5. Step 5: Solve for x
    x = 50,461,335.21/6,343.33
  6. Step 6: Final answer
    x = 7,955.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.