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Finding the Fourth Proportional to 8,894.31, 13,339.76 and 4,149.16

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Solution

The fourth proportional to 8,894.31, 13,339.76 and 4,149.16 is: 6,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.31 : 13,339.76 = 4,149.16 : x
  2. Step 2: Convert to fraction form
    8,894.31/13,339.76 = 4,149.16/x
  3. Step 3: Cross multiply
    8,894.31x = 13,339.76 × 4,149.16
  4. Step 4: Simplify right side
    8,894.31x = 55,348,798.60
  5. Step 5: Solve for x
    x = 55,348,798.60/8,894.31
  6. Step 6: Final answer
    x = 6,222.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.