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Finding the Fourth Proportional to 10,170.41, 14,051.21 and 9,616.77

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Solution

The fourth proportional to 10,170.41, 14,051.21 and 9,616.77 is: 13,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.41 : 14,051.21 = 9,616.77 : x
  2. Step 2: Convert to fraction form
    10,170.41/14,051.21 = 9,616.77/x
  3. Step 3: Cross multiply
    10,170.41x = 14,051.21 × 9,616.77
  4. Step 4: Simplify right side
    10,170.41x = 135,127,206.71
  5. Step 5: Solve for x
    x = 135,127,206.71/10,170.41
  6. Step 6: Final answer
    x = 13,286.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.