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Finding the Fourth Proportional to 9,508.23, 14,256.27 and 3,965.40

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Solution

The fourth proportional to 9,508.23, 14,256.27 and 3,965.40 is: 5,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.23 : 14,256.27 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    9,508.23/14,256.27 = 3,965.40/x
  3. Step 3: Cross multiply
    9,508.23x = 14,256.27 × 3,965.40
  4. Step 4: Simplify right side
    9,508.23x = 56,531,813.06
  5. Step 5: Solve for x
    x = 56,531,813.06/9,508.23
  6. Step 6: Final answer
    x = 5,945.57

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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.