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Finding the Fourth Proportional to 9,760.65, 14,644.28 and 3,098.26

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Solution

The fourth proportional to 9,760.65, 14,644.28 and 3,098.26 is: 4,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.65 : 14,644.28 = 3,098.26 : x
  2. Step 2: Convert to fraction form
    9,760.65/14,644.28 = 3,098.26/x
  3. Step 3: Cross multiply
    9,760.65x = 14,644.28 × 3,098.26
  4. Step 4: Simplify right side
    9,760.65x = 45,371,786.95
  5. Step 5: Solve for x
    x = 45,371,786.95/9,760.65
  6. Step 6: Final answer
    x = 4,648.44

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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.