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Finding the Fourth Proportional to 9,591.90, 13,234.02 and 5,558.34

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Solution

The fourth proportional to 9,591.90, 13,234.02 and 5,558.34 is: 7,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.90 : 13,234.02 = 5,558.34 : x
  2. Step 2: Convert to fraction form
    9,591.90/13,234.02 = 5,558.34/x
  3. Step 3: Cross multiply
    9,591.90x = 13,234.02 × 5,558.34
  4. Step 4: Simplify right side
    9,591.90x = 73,559,182.73
  5. Step 5: Solve for x
    x = 73,559,182.73/9,591.90
  6. Step 6: Final answer
    x = 7,668.89

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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.