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Finding the Fourth Proportional to 9,663, 13,334.94 and 5,247

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Solution

The fourth proportional to 9,663, 13,334.94 and 5,247 is: 7,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663 : 13,334.94 = 5,247 : x
  2. Step 2: Convert to fraction form
    9,663/13,334.94 = 5,247/x
  3. Step 3: Cross multiply
    9,663x = 13,334.94 × 5,247
  4. Step 4: Simplify right side
    9,663x = 69,968,430.18
  5. Step 5: Solve for x
    x = 69,968,430.18/9,663
  6. Step 6: Final answer
    x = 7,240.86

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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.