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Finding the Fourth Proportional to 9,591.30, 13,238.04 and 6,445.67

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Solution

The fourth proportional to 9,591.30, 13,238.04 and 6,445.67 is: 8,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.30 : 13,238.04 = 6,445.67 : x
  2. Step 2: Convert to fraction form
    9,591.30/13,238.04 = 6,445.67/x
  3. Step 3: Cross multiply
    9,591.30x = 13,238.04 × 6,445.67
  4. Step 4: Simplify right side
    9,591.30x = 85,327,946.93
  5. Step 5: Solve for x
    x = 85,327,946.93/9,591.30
  6. Step 6: Final answer
    x = 8,896.39

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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.