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Finding the Fourth Proportional to 8,923.94, 12,314.83 and 5,147.11

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Solution

The fourth proportional to 8,923.94, 12,314.83 and 5,147.11 is: 7,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.94 : 12,314.83 = 5,147.11 : x
  2. Step 2: Convert to fraction form
    8,923.94/12,314.83 = 5,147.11/x
  3. Step 3: Cross multiply
    8,923.94x = 12,314.83 × 5,147.11
  4. Step 4: Simplify right side
    8,923.94x = 63,385,758.91
  5. Step 5: Solve for x
    x = 63,385,758.91/8,923.94
  6. Step 6: Final answer
    x = 7,102.89

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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.