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Finding the Fourth Proportional to 9,512.63, 13,127.94 and 5,976.98

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Solution

The fourth proportional to 9,512.63, 13,127.94 and 5,976.98 is: 8,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.63 : 13,127.94 = 5,976.98 : x
  2. Step 2: Convert to fraction form
    9,512.63/13,127.94 = 5,976.98/x
  3. Step 3: Cross multiply
    9,512.63x = 13,127.94 × 5,976.98
  4. Step 4: Simplify right side
    9,512.63x = 78,465,434.82
  5. Step 5: Solve for x
    x = 78,465,434.82/9,512.63
  6. Step 6: Final answer
    x = 8,248.55

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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.