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Finding the Fourth Proportional to 6,863.81, 9,468.56 and 4,341.67

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Solution

The fourth proportional to 6,863.81, 9,468.56 and 4,341.67 is: 5,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.81 : 9,468.56 = 4,341.67 : x
  2. Step 2: Convert to fraction form
    6,863.81/9,468.56 = 4,341.67/x
  3. Step 3: Cross multiply
    6,863.81x = 9,468.56 × 4,341.67
  4. Step 4: Simplify right side
    6,863.81x = 41,109,362.90
  5. Step 5: Solve for x
    x = 41,109,362.90/6,863.81
  6. Step 6: Final answer
    x = 5,989.29

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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.