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Finding the Fourth Proportional to 6,365.05, 9,534.79 and 3,244.93

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Solution

The fourth proportional to 6,365.05, 9,534.79 and 3,244.93 is: 4,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.05 : 9,534.79 = 3,244.93 : x
  2. Step 2: Convert to fraction form
    6,365.05/9,534.79 = 3,244.93/x
  3. Step 3: Cross multiply
    6,365.05x = 9,534.79 × 3,244.93
  4. Step 4: Simplify right side
    6,365.05x = 30,939,726.11
  5. Step 5: Solve for x
    x = 30,939,726.11/6,365.05
  6. Step 6: Final answer
    x = 4,860.88

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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.