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Finding the Fourth Proportional to 9,763.74, 14,644.40 and 3,918.38

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Solution

The fourth proportional to 9,763.74, 14,644.40 and 3,918.38 is: 5,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.74 : 14,644.40 = 3,918.38 : x
  2. Step 2: Convert to fraction form
    9,763.74/14,644.40 = 3,918.38/x
  3. Step 3: Cross multiply
    9,763.74x = 14,644.40 × 3,918.38
  4. Step 4: Simplify right side
    9,763.74x = 57,382,231.26
  5. Step 5: Solve for x
    x = 57,382,231.26/9,763.74
  6. Step 6: Final answer
    x = 5,877.07

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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.