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Finding the Fourth Proportional to 9,333.09, 12,857.13 and 7,841.07

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Solution

The fourth proportional to 9,333.09, 12,857.13 and 7,841.07 is: 10,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.09 : 12,857.13 = 7,841.07 : x
  2. Step 2: Convert to fraction form
    9,333.09/12,857.13 = 7,841.07/x
  3. Step 3: Cross multiply
    9,333.09x = 12,857.13 × 7,841.07
  4. Step 4: Simplify right side
    9,333.09x = 100,813,656.33
  5. Step 5: Solve for x
    x = 100,813,656.33/9,333.09
  6. Step 6: Final answer
    x = 10,801.74

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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.