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Finding the Fourth Proportional to 9,305.26, 12,841.49 and 5,113.51

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Solution

The fourth proportional to 9,305.26, 12,841.49 and 5,113.51 is: 7,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.26 : 12,841.49 = 5,113.51 : x
  2. Step 2: Convert to fraction form
    9,305.26/12,841.49 = 5,113.51/x
  3. Step 3: Cross multiply
    9,305.26x = 12,841.49 × 5,113.51
  4. Step 4: Simplify right side
    9,305.26x = 65,665,087.53
  5. Step 5: Solve for x
    x = 65,665,087.53/9,305.26
  6. Step 6: Final answer
    x = 7,056.77

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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.