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Finding the Fourth Proportional to 6,357.05, 9,538.29 and 3,072.59

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Solution

The fourth proportional to 6,357.05, 9,538.29 and 3,072.59 is: 4,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.05 : 9,538.29 = 3,072.59 : x
  2. Step 2: Convert to fraction form
    6,357.05/9,538.29 = 3,072.59/x
  3. Step 3: Cross multiply
    6,357.05x = 9,538.29 × 3,072.59
  4. Step 4: Simplify right side
    6,357.05x = 29,307,206.78
  5. Step 5: Solve for x
    x = 29,307,206.78/6,357.05
  6. Step 6: Final answer
    x = 4,610.19

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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.