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Finding the Fourth Proportional to 9,767.56, 14,617.26 and 7,992.04

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Solution

The fourth proportional to 9,767.56, 14,617.26 and 7,992.04 is: 11,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.56 : 14,617.26 = 7,992.04 : x
  2. Step 2: Convert to fraction form
    9,767.56/14,617.26 = 7,992.04/x
  3. Step 3: Cross multiply
    9,767.56x = 14,617.26 × 7,992.04
  4. Step 4: Simplify right side
    9,767.56x = 116,821,726.61
  5. Step 5: Solve for x
    x = 116,821,726.61/9,767.56
  6. Step 6: Final answer
    x = 11,960.17

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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.