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Finding the Fourth Proportional to 6,131.84, 8,462.22 and 4,717.04

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Solution

The fourth proportional to 6,131.84, 8,462.22 and 4,717.04 is: 6,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.84 : 8,462.22 = 4,717.04 : x
  2. Step 2: Convert to fraction form
    6,131.84/8,462.22 = 4,717.04/x
  3. Step 3: Cross multiply
    6,131.84x = 8,462.22 × 4,717.04
  4. Step 4: Simplify right side
    6,131.84x = 39,916,630.23
  5. Step 5: Solve for x
    x = 39,916,630.23/6,131.84
  6. Step 6: Final answer
    x = 6,509.73

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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.