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Finding the Fourth Proportional to 6,568.15, 9,842.49 and 5,406.40

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Solution

The fourth proportional to 6,568.15, 9,842.49 and 5,406.40 is: 8,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.15 : 9,842.49 = 5,406.40 : x
  2. Step 2: Convert to fraction form
    6,568.15/9,842.49 = 5,406.40/x
  3. Step 3: Cross multiply
    6,568.15x = 9,842.49 × 5,406.40
  4. Step 4: Simplify right side
    6,568.15x = 53,212,437.94
  5. Step 5: Solve for x
    x = 53,212,437.94/6,568.15
  6. Step 6: Final answer
    x = 8,101.59

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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.