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Finding the Fourth Proportional to 9,335.10, 12,859.88 and 7,843.08

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Solution

The fourth proportional to 9,335.10, 12,859.88 and 7,843.08 is: 10,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.10 : 12,859.88 = 7,843.08 : x
  2. Step 2: Convert to fraction form
    9,335.10/12,859.88 = 7,843.08/x
  3. Step 3: Cross multiply
    9,335.10x = 12,859.88 × 7,843.08
  4. Step 4: Simplify right side
    9,335.10x = 100,861,067.63
  5. Step 5: Solve for x
    x = 100,861,067.63/9,335.10
  6. Step 6: Final answer
    x = 10,804.50

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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.