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Finding the Fourth Proportional to 9,616.68, 14,423.76 and 3,042.90

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Solution

The fourth proportional to 9,616.68, 14,423.76 and 3,042.90 is: 4,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.68 : 14,423.76 = 3,042.90 : x
  2. Step 2: Convert to fraction form
    9,616.68/14,423.76 = 3,042.90/x
  3. Step 3: Cross multiply
    9,616.68x = 14,423.76 × 3,042.90
  4. Step 4: Simplify right side
    9,616.68x = 43,890,059.30
  5. Step 5: Solve for x
    x = 43,890,059.30/9,616.68
  6. Step 6: Final answer
    x = 4,563.95

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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.