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Finding the Fourth Proportional to 9,992.10, 14,971.61 and 8,961.92

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Solution

The fourth proportional to 9,992.10, 14,971.61 and 8,961.92 is: 13,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.10 : 14,971.61 = 8,961.92 : x
  2. Step 2: Convert to fraction form
    9,992.10/14,971.61 = 8,961.92/x
  3. Step 3: Cross multiply
    9,992.10x = 14,971.61 × 8,961.92
  4. Step 4: Simplify right side
    9,992.10x = 134,174,374.78
  5. Step 5: Solve for x
    x = 134,174,374.78/9,992.10
  6. Step 6: Final answer
    x = 13,428.04

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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.