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Finding the Fourth Proportional to 9,306.50, 13,962.27 and 3,150.50

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Solution

The fourth proportional to 9,306.50, 13,962.27 and 3,150.50 is: 4,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.50 : 13,962.27 = 3,150.50 : x
  2. Step 2: Convert to fraction form
    9,306.50/13,962.27 = 3,150.50/x
  3. Step 3: Cross multiply
    9,306.50x = 13,962.27 × 3,150.50
  4. Step 4: Simplify right side
    9,306.50x = 43,988,131.64
  5. Step 5: Solve for x
    x = 43,988,131.64/9,306.50
  6. Step 6: Final answer
    x = 4,726.60

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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.