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Finding the Fourth Proportional to 9,759.42, 14,628.20 and 3,909.20

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Solution

The fourth proportional to 9,759.42, 14,628.20 and 3,909.20 is: 5,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.42 : 14,628.20 = 3,909.20 : x
  2. Step 2: Convert to fraction form
    9,759.42/14,628.20 = 3,909.20/x
  3. Step 3: Cross multiply
    9,759.42x = 14,628.20 × 3,909.20
  4. Step 4: Simplify right side
    9,759.42x = 57,184,466.75
  5. Step 5: Solve for x
    x = 57,184,466.75/9,759.42
  6. Step 6: Final answer
    x = 5,859.41

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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.