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Finding the Fourth Proportional to 6,431.08, 8,873.46 and 3,914.50

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Solution

The fourth proportional to 6,431.08, 8,873.46 and 3,914.50 is: 5,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.08 : 8,873.46 = 3,914.50 : x
  2. Step 2: Convert to fraction form
    6,431.08/8,873.46 = 3,914.50/x
  3. Step 3: Cross multiply
    6,431.08x = 8,873.46 × 3,914.50
  4. Step 4: Simplify right side
    6,431.08x = 34,735,159.17
  5. Step 5: Solve for x
    x = 34,735,159.17/6,431.08
  6. Step 6: Final answer
    x = 5,401.14

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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.