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Finding the Fourth Proportional to 9,916.97, 14,870.85 and 3,676.73

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Solution

The fourth proportional to 9,916.97, 14,870.85 and 3,676.73 is: 5,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.97 : 14,870.85 = 3,676.73 : x
  2. Step 2: Convert to fraction form
    9,916.97/14,870.85 = 3,676.73/x
  3. Step 3: Cross multiply
    9,916.97x = 14,870.85 × 3,676.73
  4. Step 4: Simplify right side
    9,916.97x = 54,676,025.97
  5. Step 5: Solve for x
    x = 54,676,025.97/9,916.97
  6. Step 6: Final answer
    x = 5,513.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.