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Finding the Fourth Proportional to 9,568.61, 13,205.00 and 5,792.46

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Solution

The fourth proportional to 9,568.61, 13,205.00 and 5,792.46 is: 7,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.61 : 13,205.00 = 5,792.46 : x
  2. Step 2: Convert to fraction form
    9,568.61/13,205.00 = 5,792.46/x
  3. Step 3: Cross multiply
    9,568.61x = 13,205.00 × 5,792.46
  4. Step 4: Simplify right side
    9,568.61x = 76,489,448.78
  5. Step 5: Solve for x
    x = 76,489,448.78/9,568.61
  6. Step 6: Final answer
    x = 7,993.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.