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Finding the Fourth Proportional to 9,648, 13,314.24 and 5,232

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Solution

The fourth proportional to 9,648, 13,314.24 and 5,232 is: 7,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648 : 13,314.24 = 5,232 : x
  2. Step 2: Convert to fraction form
    9,648/13,314.24 = 5,232/x
  3. Step 3: Cross multiply
    9,648x = 13,314.24 × 5,232
  4. Step 4: Simplify right side
    9,648x = 69,660,103.68
  5. Step 5: Solve for x
    x = 69,660,103.68/9,648
  6. Step 6: Final answer
    x = 7,220.16

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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.