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Finding the Fourth Proportional to 6,113.16, 8,433.48 and 4,694.34

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Solution

The fourth proportional to 6,113.16, 8,433.48 and 4,694.34 is: 6,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.16 : 8,433.48 = 4,694.34 : x
  2. Step 2: Convert to fraction form
    6,113.16/8,433.48 = 4,694.34/x
  3. Step 3: Cross multiply
    6,113.16x = 8,433.48 × 4,694.34
  4. Step 4: Simplify right side
    6,113.16x = 39,589,622.50
  5. Step 5: Solve for x
    x = 39,589,622.50/6,113.16
  6. Step 6: Final answer
    x = 6,476.13

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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.