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Finding the Fourth Proportional to 9,811.37, 14,716.92 and 2,415.84

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Solution

The fourth proportional to 9,811.37, 14,716.92 and 2,415.84 is: 3,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.37 : 14,716.92 = 2,415.84 : x
  2. Step 2: Convert to fraction form
    9,811.37/14,716.92 = 2,415.84/x
  3. Step 3: Cross multiply
    9,811.37x = 14,716.92 × 2,415.84
  4. Step 4: Simplify right side
    9,811.37x = 35,553,678.20
  5. Step 5: Solve for x
    x = 35,553,678.20/9,811.37
  6. Step 6: Final answer
    x = 3,623.72

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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.