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Finding the Fourth Proportional to 9,972.57, 14,942.44 and 7,905.85

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Solution

The fourth proportional to 9,972.57, 14,942.44 and 7,905.85 is: 11,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.57 : 14,942.44 = 7,905.85 : x
  2. Step 2: Convert to fraction form
    9,972.57/14,942.44 = 7,905.85/x
  3. Step 3: Cross multiply
    9,972.57x = 14,942.44 × 7,905.85
  4. Step 4: Simplify right side
    9,972.57x = 118,132,689.27
  5. Step 5: Solve for x
    x = 118,132,689.27/9,972.57
  6. Step 6: Final answer
    x = 11,845.76

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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.