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Finding the Fourth Proportional to 9,512.00, 13,126.62 and 5,734.40

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Solution

The fourth proportional to 9,512.00, 13,126.62 and 5,734.40 is: 7,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.00 : 13,126.62 = 5,734.40 : x
  2. Step 2: Convert to fraction form
    9,512.00/13,126.62 = 5,734.40/x
  3. Step 3: Cross multiply
    9,512.00x = 13,126.62 × 5,734.40
  4. Step 4: Simplify right side
    9,512.00x = 75,273,224.09
  5. Step 5: Solve for x
    x = 75,273,224.09/9,512.00
  6. Step 6: Final answer
    x = 7,913.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.