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Finding the Fourth Proportional to 6,571.09, 9,854.04 and 2,409.85

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Solution

The fourth proportional to 6,571.09, 9,854.04 and 2,409.85 is: 3,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.09 : 9,854.04 = 2,409.85 : x
  2. Step 2: Convert to fraction form
    6,571.09/9,854.04 = 2,409.85/x
  3. Step 3: Cross multiply
    6,571.09x = 9,854.04 × 2,409.85
  4. Step 4: Simplify right side
    6,571.09x = 23,746,758.29
  5. Step 5: Solve for x
    x = 23,746,758.29/6,571.09
  6. Step 6: Final answer
    x = 3,613.82

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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.