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Finding the Fourth Proportional to 9,762.75, 14,645.97 and 3,919.82

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Solution

The fourth proportional to 9,762.75, 14,645.97 and 3,919.82 is: 5,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.75 : 14,645.97 = 3,919.82 : x
  2. Step 2: Convert to fraction form
    9,762.75/14,645.97 = 3,919.82/x
  3. Step 3: Cross multiply
    9,762.75x = 14,645.97 × 3,919.82
  4. Step 4: Simplify right side
    9,762.75x = 57,409,492.90
  5. Step 5: Solve for x
    x = 57,409,492.90/9,762.75
  6. Step 6: Final answer
    x = 5,880.46

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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.