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Finding the Fourth Proportional to 6,539.69, 9,803.25 and 4,193.12

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Solution

The fourth proportional to 6,539.69, 9,803.25 and 4,193.12 is: 6,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.69 : 9,803.25 = 4,193.12 : x
  2. Step 2: Convert to fraction form
    6,539.69/9,803.25 = 4,193.12/x
  3. Step 3: Cross multiply
    6,539.69x = 9,803.25 × 4,193.12
  4. Step 4: Simplify right side
    6,539.69x = 41,106,154.62
  5. Step 5: Solve for x
    x = 41,106,154.62/6,539.69
  6. Step 6: Final answer
    x = 6,285.65

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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.