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Finding the Fourth Proportional to 9,512.78, 13,127.40 and 5,263.74

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Solution

The fourth proportional to 9,512.78, 13,127.40 and 5,263.74 is: 7,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.78 : 13,127.40 = 5,263.74 : x
  2. Step 2: Convert to fraction form
    9,512.78/13,127.40 = 5,263.74/x
  3. Step 3: Cross multiply
    9,512.78x = 13,127.40 × 5,263.74
  4. Step 4: Simplify right side
    9,512.78x = 69,099,220.48
  5. Step 5: Solve for x
    x = 69,099,220.48/9,512.78
  6. Step 6: Final answer
    x = 7,263.83

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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.