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Finding the Fourth Proportional to 9,992.56, 14,969.32 and 7,791

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Solution

The fourth proportional to 9,992.56, 14,969.32 and 7,791 is: 11,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.56 : 14,969.32 = 7,791 : x
  2. Step 2: Convert to fraction form
    9,992.56/14,969.32 = 7,791/x
  3. Step 3: Cross multiply
    9,992.56x = 14,969.32 × 7,791
  4. Step 4: Simplify right side
    9,992.56x = 116,625,972.12
  5. Step 5: Solve for x
    x = 116,625,972.12/9,992.56
  6. Step 6: Final answer
    x = 11,671.28

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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.