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Finding the Fourth Proportional to 9,568.25, 13,205.42 and 5,376.50

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Solution

The fourth proportional to 9,568.25, 13,205.42 and 5,376.50 is: 7,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.25 : 13,205.42 = 5,376.50 : x
  2. Step 2: Convert to fraction form
    9,568.25/13,205.42 = 5,376.50/x
  3. Step 3: Cross multiply
    9,568.25x = 13,205.42 × 5,376.50
  4. Step 4: Simplify right side
    9,568.25x = 70,998,954.07
  5. Step 5: Solve for x
    x = 70,998,954.07/9,568.25
  6. Step 6: Final answer
    x = 7,420.27

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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.