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Finding the Fourth Proportional to 9,262.65, 13,895.34 and 3,021.12

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Solution

The fourth proportional to 9,262.65, 13,895.34 and 3,021.12 is: 4,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.65 : 13,895.34 = 3,021.12 : x
  2. Step 2: Convert to fraction form
    9,262.65/13,895.34 = 3,021.12/x
  3. Step 3: Cross multiply
    9,262.65x = 13,895.34 × 3,021.12
  4. Step 4: Simplify right side
    9,262.65x = 41,979,489.58
  5. Step 5: Solve for x
    x = 41,979,489.58/9,262.65
  6. Step 6: Final answer
    x = 4,532.13

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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.