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Finding the Fourth Proportional to 8,947.68, 12,345.81 and 5,410.82

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Solution

The fourth proportional to 8,947.68, 12,345.81 and 5,410.82 is: 7,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.68 : 12,345.81 = 5,410.82 : x
  2. Step 2: Convert to fraction form
    8,947.68/12,345.81 = 5,410.82/x
  3. Step 3: Cross multiply
    8,947.68x = 12,345.81 × 5,410.82
  4. Step 4: Simplify right side
    8,947.68x = 66,800,893.94
  5. Step 5: Solve for x
    x = 66,800,893.94/8,947.68
  6. Step 6: Final answer
    x = 7,465.72

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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.