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Finding the Fourth Proportional to 9,282.69, 13,922.52 and 3,042.61

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Solution

The fourth proportional to 9,282.69, 13,922.52 and 3,042.61 is: 4,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.69 : 13,922.52 = 3,042.61 : x
  2. Step 2: Convert to fraction form
    9,282.69/13,922.52 = 3,042.61/x
  3. Step 3: Cross multiply
    9,282.69x = 13,922.52 × 3,042.61
  4. Step 4: Simplify right side
    9,282.69x = 42,360,798.58
  5. Step 5: Solve for x
    x = 42,360,798.58/9,282.69
  6. Step 6: Final answer
    x = 4,563.42

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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.