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Finding the Fourth Proportional to 6,327, 9,491.28 and 2,817

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Solution

The fourth proportional to 6,327, 9,491.28 and 2,817 is: 4,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327 : 9,491.28 = 2,817 : x
  2. Step 2: Convert to fraction form
    6,327/9,491.28 = 2,817/x
  3. Step 3: Cross multiply
    6,327x = 9,491.28 × 2,817
  4. Step 4: Simplify right side
    6,327x = 26,736,935.76
  5. Step 5: Solve for x
    x = 26,736,935.76/6,327
  6. Step 6: Final answer
    x = 4,225.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.