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Finding the Fourth Proportional to 9,264.11, 12,786.86 and 5,680.26

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Solution

The fourth proportional to 9,264.11, 12,786.86 and 5,680.26 is: 7,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.11 : 12,786.86 = 5,680.26 : x
  2. Step 2: Convert to fraction form
    9,264.11/12,786.86 = 5,680.26/x
  3. Step 3: Cross multiply
    9,264.11x = 12,786.86 × 5,680.26
  4. Step 4: Simplify right side
    9,264.11x = 72,632,703.58
  5. Step 5: Solve for x
    x = 72,632,703.58/9,264.11
  6. Step 6: Final answer
    x = 7,840.23

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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.