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Finding the Fourth Proportional to 11,091.96, 16,541.73 and 9,459

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Solution

The fourth proportional to 11,091.96, 16,541.73 and 9,459 is: 14,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.96 : 16,541.73 = 9,459 : x
  2. Step 2: Convert to fraction form
    11,091.96/16,541.73 = 9,459/x
  3. Step 3: Cross multiply
    11,091.96x = 16,541.73 × 9,459
  4. Step 4: Simplify right side
    11,091.96x = 156,468,224.07
  5. Step 5: Solve for x
    x = 156,468,224.07/11,091.96
  6. Step 6: Final answer
    x = 14,106.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.