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Finding the Fourth Proportional to 9,256.13, 13,861.95 and 5,295.38

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Solution

The fourth proportional to 9,256.13, 13,861.95 and 5,295.38 is: 7,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.13 : 13,861.95 = 5,295.38 : x
  2. Step 2: Convert to fraction form
    9,256.13/13,861.95 = 5,295.38/x
  3. Step 3: Cross multiply
    9,256.13x = 13,861.95 × 5,295.38
  4. Step 4: Simplify right side
    9,256.13x = 73,404,292.79
  5. Step 5: Solve for x
    x = 73,404,292.79/9,256.13
  6. Step 6: Final answer
    x = 7,930.34

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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.