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Finding the Fourth Proportional to 6,401.62, 8,834.33 and 3,568.91

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Solution

The fourth proportional to 6,401.62, 8,834.33 and 3,568.91 is: 4,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.62 : 8,834.33 = 3,568.91 : x
  2. Step 2: Convert to fraction form
    6,401.62/8,834.33 = 3,568.91/x
  3. Step 3: Cross multiply
    6,401.62x = 8,834.33 × 3,568.91
  4. Step 4: Simplify right side
    6,401.62x = 31,528,928.68
  5. Step 5: Solve for x
    x = 31,528,928.68/6,401.62
  6. Step 6: Final answer
    x = 4,925.15

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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.