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Finding the Fourth Proportional to 9,262.07, 13,894.02 and 3,021.83

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Solution

The fourth proportional to 9,262.07, 13,894.02 and 3,021.83 is: 4,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.07 : 13,894.02 = 3,021.83 : x
  2. Step 2: Convert to fraction form
    9,262.07/13,894.02 = 3,021.83/x
  3. Step 3: Cross multiply
    9,262.07x = 13,894.02 × 3,021.83
  4. Step 4: Simplify right side
    9,262.07x = 41,985,349.09
  5. Step 5: Solve for x
    x = 41,985,349.09/9,262.07
  6. Step 6: Final answer
    x = 4,533.04

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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.