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Finding the Fourth Proportional to 9,305.51, 12,841.83 and 5,113.76

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Solution

The fourth proportional to 9,305.51, 12,841.83 and 5,113.76 is: 7,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.51 : 12,841.83 = 5,113.76 : x
  2. Step 2: Convert to fraction form
    9,305.51/12,841.83 = 5,113.76/x
  3. Step 3: Cross multiply
    9,305.51x = 12,841.83 × 5,113.76
  4. Step 4: Simplify right side
    9,305.51x = 65,669,972.37
  5. Step 5: Solve for x
    x = 65,669,972.37/9,305.51
  6. Step 6: Final answer
    x = 7,057.11

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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.