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Finding the Fourth Proportional to 8,923.86, 12,314.76 and 5,387.22

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Solution

The fourth proportional to 8,923.86, 12,314.76 and 5,387.22 is: 7,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.86 : 12,314.76 = 5,387.22 : x
  2. Step 2: Convert to fraction form
    8,923.86/12,314.76 = 5,387.22/x
  3. Step 3: Cross multiply
    8,923.86x = 12,314.76 × 5,387.22
  4. Step 4: Simplify right side
    8,923.86x = 66,342,321.37
  5. Step 5: Solve for x
    x = 66,342,321.37/8,923.86
  6. Step 6: Final answer
    x = 7,434.26

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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.