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Finding the Fourth Proportional to 9,836.37, 14,754.74 and 2,910.87

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Solution

The fourth proportional to 9,836.37, 14,754.74 and 2,910.87 is: 4,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.37 : 14,754.74 = 2,910.87 : x
  2. Step 2: Convert to fraction form
    9,836.37/14,754.74 = 2,910.87/x
  3. Step 3: Cross multiply
    9,836.37x = 14,754.74 × 2,910.87
  4. Step 4: Simplify right side
    9,836.37x = 42,949,115.47
  5. Step 5: Solve for x
    x = 42,949,115.47/9,836.37
  6. Step 6: Final answer
    x = 4,366.36

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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.