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Finding the Fourth Proportional to 9,838.23, 14,754.14 and 3,262.65

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Solution

The fourth proportional to 9,838.23, 14,754.14 and 3,262.65 is: 4,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.23 : 14,754.14 = 3,262.65 : x
  2. Step 2: Convert to fraction form
    9,838.23/14,754.14 = 3,262.65/x
  3. Step 3: Cross multiply
    9,838.23x = 14,754.14 × 3,262.65
  4. Step 4: Simplify right side
    9,838.23x = 48,137,594.87
  5. Step 5: Solve for x
    x = 48,137,594.87/9,838.23
  6. Step 6: Final answer
    x = 4,892.91

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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.