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Finding the Fourth Proportional to 9,615.82, 14,426.28 and 3,042.12

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Solution

The fourth proportional to 9,615.82, 14,426.28 and 3,042.12 is: 4,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.82 : 14,426.28 = 3,042.12 : x
  2. Step 2: Convert to fraction form
    9,615.82/14,426.28 = 3,042.12/x
  3. Step 3: Cross multiply
    9,615.82x = 14,426.28 × 3,042.12
  4. Step 4: Simplify right side
    9,615.82x = 43,886,474.91
  5. Step 5: Solve for x
    x = 43,886,474.91/9,615.82
  6. Step 6: Final answer
    x = 4,563.99

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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.