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Finding the Fourth Proportional to 6,915.38, 9,545.97 and 4,676.18

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Solution

The fourth proportional to 6,915.38, 9,545.97 and 4,676.18 is: 6,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.38 : 9,545.97 = 4,676.18 : x
  2. Step 2: Convert to fraction form
    6,915.38/9,545.97 = 4,676.18/x
  3. Step 3: Cross multiply
    6,915.38x = 9,545.97 × 4,676.18
  4. Step 4: Simplify right side
    6,915.38x = 44,638,673.99
  5. Step 5: Solve for x
    x = 44,638,673.99/6,915.38
  6. Step 6: Final answer
    x = 6,454.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.