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Finding the Fourth Proportional to 9,852.38, 13,596.24 and 5,376.20

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Solution

The fourth proportional to 9,852.38, 13,596.24 and 5,376.20 is: 7,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.38 : 13,596.24 = 5,376.20 : x
  2. Step 2: Convert to fraction form
    9,852.38/13,596.24 = 5,376.20/x
  3. Step 3: Cross multiply
    9,852.38x = 13,596.24 × 5,376.20
  4. Step 4: Simplify right side
    9,852.38x = 73,096,105.49
  5. Step 5: Solve for x
    x = 73,096,105.49/9,852.38
  6. Step 6: Final answer
    x = 7,419.13

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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.