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Finding the Fourth Proportional to 9,756.53, 14,622.04 and 3,917.24

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Solution

The fourth proportional to 9,756.53, 14,622.04 and 3,917.24 is: 5,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.53 : 14,622.04 = 3,917.24 : x
  2. Step 2: Convert to fraction form
    9,756.53/14,622.04 = 3,917.24/x
  3. Step 3: Cross multiply
    9,756.53x = 14,622.04 × 3,917.24
  4. Step 4: Simplify right side
    9,756.53x = 57,278,039.97
  5. Step 5: Solve for x
    x = 57,278,039.97/9,756.53
  6. Step 6: Final answer
    x = 5,870.74

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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.