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Finding the Fourth Proportional to 6,423.35, 9,641.57 and 3,461.67

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Solution

The fourth proportional to 6,423.35, 9,641.57 and 3,461.67 is: 5,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.35 : 9,641.57 = 3,461.67 : x
  2. Step 2: Convert to fraction form
    6,423.35/9,641.57 = 3,461.67/x
  3. Step 3: Cross multiply
    6,423.35x = 9,641.57 × 3,461.67
  4. Step 4: Simplify right side
    6,423.35x = 33,375,916.31
  5. Step 5: Solve for x
    x = 33,375,916.31/6,423.35
  6. Step 6: Final answer
    x = 5,196.03

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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.