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Finding the Fourth Proportional to 9,917.32, 14,847.09 and 5,226.16

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Solution

The fourth proportional to 9,917.32, 14,847.09 and 5,226.16 is: 7,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.32 : 14,847.09 = 5,226.16 : x
  2. Step 2: Convert to fraction form
    9,917.32/14,847.09 = 5,226.16/x
  3. Step 3: Cross multiply
    9,917.32x = 14,847.09 × 5,226.16
  4. Step 4: Simplify right side
    9,917.32x = 77,593,267.87
  5. Step 5: Solve for x
    x = 77,593,267.87/9,917.32
  6. Step 6: Final answer
    x = 7,824.02

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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.