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Finding the Fourth Proportional to 9,756.64, 14,643.30 and 3,917.44

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Solution

The fourth proportional to 9,756.64, 14,643.30 and 3,917.44 is: 5,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.64 : 14,643.30 = 3,917.44 : x
  2. Step 2: Convert to fraction form
    9,756.64/14,643.30 = 3,917.44/x
  3. Step 3: Cross multiply
    9,756.64x = 14,643.30 × 3,917.44
  4. Step 4: Simplify right side
    9,756.64x = 57,364,249.15
  5. Step 5: Solve for x
    x = 57,364,249.15/9,756.64
  6. Step 6: Final answer
    x = 5,879.51

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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.