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Finding the Fourth Proportional to 9,481, 14,226.62 and 4,617

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Solution

The fourth proportional to 9,481, 14,226.62 and 4,617 is: 6,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481 : 14,226.62 = 4,617 : x
  2. Step 2: Convert to fraction form
    9,481/14,226.62 = 4,617/x
  3. Step 3: Cross multiply
    9,481x = 14,226.62 × 4,617
  4. Step 4: Simplify right side
    9,481x = 65,684,304.54
  5. Step 5: Solve for x
    x = 65,684,304.54/9,481
  6. Step 6: Final answer
    x = 6,927.99

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Why These Related Problems?

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