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Finding the Fourth Proportional to 6,363.06, 9,534.88 and 3,238.38

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Solution

The fourth proportional to 6,363.06, 9,534.88 and 3,238.38 is: 4,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.06 : 9,534.88 = 3,238.38 : x
  2. Step 2: Convert to fraction form
    6,363.06/9,534.88 = 3,238.38/x
  3. Step 3: Cross multiply
    6,363.06x = 9,534.88 × 3,238.38
  4. Step 4: Simplify right side
    6,363.06x = 30,877,564.69
  5. Step 5: Solve for x
    x = 30,877,564.69/6,363.06
  6. Step 6: Final answer
    x = 4,852.63

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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.