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Finding the Fourth Proportional to 9,568.17, 14,360.97 and 4,891.41

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Solution

The fourth proportional to 9,568.17, 14,360.97 and 4,891.41 is: 7,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.17 : 14,360.97 = 4,891.41 : x
  2. Step 2: Convert to fraction form
    9,568.17/14,360.97 = 4,891.41/x
  3. Step 3: Cross multiply
    9,568.17x = 14,360.97 × 4,891.41
  4. Step 4: Simplify right side
    9,568.17x = 70,245,392.27
  5. Step 5: Solve for x
    x = 70,245,392.27/9,568.17
  6. Step 6: Final answer
    x = 7,341.57

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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.