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Finding the Fourth Proportional to 9,461.53, 14,195.27 and 3,917.49

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Solution

The fourth proportional to 9,461.53, 14,195.27 and 3,917.49 is: 5,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.53 : 14,195.27 = 3,917.49 : x
  2. Step 2: Convert to fraction form
    9,461.53/14,195.27 = 3,917.49/x
  3. Step 3: Cross multiply
    9,461.53x = 14,195.27 × 3,917.49
  4. Step 4: Simplify right side
    9,461.53x = 55,609,828.27
  5. Step 5: Solve for x
    x = 55,609,828.27/9,461.53
  6. Step 6: Final answer
    x = 5,877.47

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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.