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Finding the Fourth Proportional to 9,457.63, 14,185.16 and 3,910.20

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Solution

The fourth proportional to 9,457.63, 14,185.16 and 3,910.20 is: 5,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.63 : 14,185.16 = 3,910.20 : x
  2. Step 2: Convert to fraction form
    9,457.63/14,185.16 = 3,910.20/x
  3. Step 3: Cross multiply
    9,457.63x = 14,185.16 × 3,910.20
  4. Step 4: Simplify right side
    9,457.63x = 55,466,812.63
  5. Step 5: Solve for x
    x = 55,466,812.63/9,457.63
  6. Step 6: Final answer
    x = 5,864.77

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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.