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Finding the Fourth Proportional to 6,216.46, 9,324.68 and 4,262.74

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Solution

The fourth proportional to 6,216.46, 9,324.68 and 4,262.74 is: 6,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.46 : 9,324.68 = 4,262.74 : x
  2. Step 2: Convert to fraction form
    6,216.46/9,324.68 = 4,262.74/x
  3. Step 3: Cross multiply
    6,216.46x = 9,324.68 × 4,262.74
  4. Step 4: Simplify right side
    6,216.46x = 39,748,686.42
  5. Step 5: Solve for x
    x = 39,748,686.42/6,216.46
  6. Step 6: Final answer
    x = 6,394.10

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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.