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Finding the Fourth Proportional to 9,568.44, 13,205.64 and 5,792.94

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Solution

The fourth proportional to 9,568.44, 13,205.64 and 5,792.94 is: 7,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.44 : 13,205.64 = 5,792.94 : x
  2. Step 2: Convert to fraction form
    9,568.44/13,205.64 = 5,792.94/x
  3. Step 3: Cross multiply
    9,568.44x = 13,205.64 × 5,792.94
  4. Step 4: Simplify right side
    9,568.44x = 76,499,480.18
  5. Step 5: Solve for x
    x = 76,499,480.18/9,568.44
  6. Step 6: Final answer
    x = 7,994.98

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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.