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Finding the Fourth Proportional to 8,923.86, 12,314.34 and 4,945.14

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Solution

The fourth proportional to 8,923.86, 12,314.34 and 4,945.14 is: 6,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.86 : 12,314.34 = 4,945.14 : x
  2. Step 2: Convert to fraction form
    8,923.86/12,314.34 = 4,945.14/x
  3. Step 3: Cross multiply
    8,923.86x = 12,314.34 × 4,945.14
  4. Step 4: Simplify right side
    8,923.86x = 60,896,135.31
  5. Step 5: Solve for x
    x = 60,896,135.31/8,923.86
  6. Step 6: Final answer
    x = 6,823.97

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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.