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Finding the Fourth Proportional to 8,894.34, 12,273.87 and 5,356.86

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Solution

The fourth proportional to 8,894.34, 12,273.87 and 5,356.86 is: 7,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.34 : 12,273.87 = 5,356.86 : x
  2. Step 2: Convert to fraction form
    8,894.34/12,273.87 = 5,356.86/x
  3. Step 3: Cross multiply
    8,894.34x = 12,273.87 × 5,356.86
  4. Step 4: Simplify right side
    8,894.34x = 65,749,403.25
  5. Step 5: Solve for x
    x = 65,749,403.25/8,894.34
  6. Step 6: Final answer
    x = 7,392.27

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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.