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Finding the Fourth Proportional to 9,835.62, 14,753.22 and 2,440

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Solution

The fourth proportional to 9,835.62, 14,753.22 and 2,440 is: 3,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.62 : 14,753.22 = 2,440 : x
  2. Step 2: Convert to fraction form
    9,835.62/14,753.22 = 2,440/x
  3. Step 3: Cross multiply
    9,835.62x = 14,753.22 × 2,440
  4. Step 4: Simplify right side
    9,835.62x = 35,997,856.80
  5. Step 5: Solve for x
    x = 35,997,856.80/9,835.62
  6. Step 6: Final answer
    x = 3,659.95

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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.