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Finding the Fourth Proportional to 6,272.46, 8,646.75 and 4,943.52

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Solution

The fourth proportional to 6,272.46, 8,646.75 and 4,943.52 is: 6,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.46 : 8,646.75 = 4,943.52 : x
  2. Step 2: Convert to fraction form
    6,272.46/8,646.75 = 4,943.52/x
  3. Step 3: Cross multiply
    6,272.46x = 8,646.75 × 4,943.52
  4. Step 4: Simplify right side
    6,272.46x = 42,745,381.56
  5. Step 5: Solve for x
    x = 42,745,381.56/6,272.46
  6. Step 6: Final answer
    x = 6,814.77

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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.