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Finding the Fourth Proportional to 9,668.50, 13,342.61 and 5,252.50

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Solution

The fourth proportional to 9,668.50, 13,342.61 and 5,252.50 is: 7,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.50 : 13,342.61 = 5,252.50 : x
  2. Step 2: Convert to fraction form
    9,668.50/13,342.61 = 5,252.50/x
  3. Step 3: Cross multiply
    9,668.50x = 13,342.61 × 5,252.50
  4. Step 4: Simplify right side
    9,668.50x = 70,082,059.03
  5. Step 5: Solve for x
    x = 70,082,059.03/9,668.50
  6. Step 6: Final answer
    x = 7,248.49

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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.