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Finding the Fourth Proportional to 6,501.69, 9,745.38 and 4,154.31

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Solution

The fourth proportional to 6,501.69, 9,745.38 and 4,154.31 is: 6,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.69 : 9,745.38 = 4,154.31 : x
  2. Step 2: Convert to fraction form
    6,501.69/9,745.38 = 4,154.31/x
  3. Step 3: Cross multiply
    6,501.69x = 9,745.38 × 4,154.31
  4. Step 4: Simplify right side
    6,501.69x = 40,485,329.59
  5. Step 5: Solve for x
    x = 40,485,329.59/6,501.69
  6. Step 6: Final answer
    x = 6,226.89

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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.