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Finding the Fourth Proportional to 9,696.65, 14,545.58 and 2,676.78

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Solution

The fourth proportional to 9,696.65, 14,545.58 and 2,676.78 is: 4,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.65 : 14,545.58 = 2,676.78 : x
  2. Step 2: Convert to fraction form
    9,696.65/14,545.58 = 2,676.78/x
  3. Step 3: Cross multiply
    9,696.65x = 14,545.58 × 2,676.78
  4. Step 4: Simplify right side
    9,696.65x = 38,935,304.25
  5. Step 5: Solve for x
    x = 38,935,304.25/9,696.65
  6. Step 6: Final answer
    x = 4,015.34

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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.