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Finding the Fourth Proportional to 8,921.77, 12,312.12 and 4,942.93

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Solution

The fourth proportional to 8,921.77, 12,312.12 and 4,942.93 is: 6,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.77 : 12,312.12 = 4,942.93 : x
  2. Step 2: Convert to fraction form
    8,921.77/12,312.12 = 4,942.93/x
  3. Step 3: Cross multiply
    8,921.77x = 12,312.12 × 4,942.93
  4. Step 4: Simplify right side
    8,921.77x = 60,857,947.31
  5. Step 5: Solve for x
    x = 60,857,947.31/8,921.77
  6. Step 6: Final answer
    x = 6,821.29

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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.