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Finding the Fourth Proportional to 9,605.34, 14,395.89 and 5,151.96

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Solution

The fourth proportional to 9,605.34, 14,395.89 and 5,151.96 is: 7,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.34 : 14,395.89 = 5,151.96 : x
  2. Step 2: Convert to fraction form
    9,605.34/14,395.89 = 5,151.96/x
  3. Step 3: Cross multiply
    9,605.34x = 14,395.89 × 5,151.96
  4. Step 4: Simplify right side
    9,605.34x = 74,167,049.44
  5. Step 5: Solve for x
    x = 74,167,049.44/9,605.34
  6. Step 6: Final answer
    x = 7,721.44

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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.