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Finding the Fourth Proportional to 9,835.92, 14,754.87 and 3,262.61

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Solution

The fourth proportional to 9,835.92, 14,754.87 and 3,262.61 is: 4,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.92 : 14,754.87 = 3,262.61 : x
  2. Step 2: Convert to fraction form
    9,835.92/14,754.87 = 3,262.61/x
  3. Step 3: Cross multiply
    9,835.92x = 14,754.87 × 3,262.61
  4. Step 4: Simplify right side
    9,835.92x = 48,139,423.30
  5. Step 5: Solve for x
    x = 48,139,423.30/9,835.92
  6. Step 6: Final answer
    x = 4,894.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.