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Finding the Fourth Proportional to 9,664.94, 14,502.27 and 3,826.46

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Solution

The fourth proportional to 9,664.94, 14,502.27 and 3,826.46 is: 5,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.94 : 14,502.27 = 3,826.46 : x
  2. Step 2: Convert to fraction form
    9,664.94/14,502.27 = 3,826.46/x
  3. Step 3: Cross multiply
    9,664.94x = 14,502.27 × 3,826.46
  4. Step 4: Simplify right side
    9,664.94x = 55,492,283.55
  5. Step 5: Solve for x
    x = 55,492,283.55/9,664.94
  6. Step 6: Final answer
    x = 5,741.61

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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.