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Finding the Fourth Proportional to 9,759.02, 13,466.00 and 5,928.67

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Solution

The fourth proportional to 9,759.02, 13,466.00 and 5,928.67 is: 8,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.02 : 13,466.00 = 5,928.67 : x
  2. Step 2: Convert to fraction form
    9,759.02/13,466.00 = 5,928.67/x
  3. Step 3: Cross multiply
    9,759.02x = 13,466.00 × 5,928.67
  4. Step 4: Simplify right side
    9,759.02x = 79,835,451.38
  5. Step 5: Solve for x
    x = 79,835,451.38/9,759.02
  6. Step 6: Final answer
    x = 8,180.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.