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Finding the Fourth Proportional to 8,921.76, 12,310.34 and 5,735.63

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Solution

The fourth proportional to 8,921.76, 12,310.34 and 5,735.63 is: 7,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.76 : 12,310.34 = 5,735.63 : x
  2. Step 2: Convert to fraction form
    8,921.76/12,310.34 = 5,735.63/x
  3. Step 3: Cross multiply
    8,921.76x = 12,310.34 × 5,735.63
  4. Step 4: Simplify right side
    8,921.76x = 70,607,465.18
  5. Step 5: Solve for x
    x = 70,607,465.18/8,921.76
  6. Step 6: Final answer
    x = 7,914.07

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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.