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Finding the Fourth Proportional to 9,846.71, 13,588.05 and 5,370.38

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Solution

The fourth proportional to 9,846.71, 13,588.05 and 5,370.38 is: 7,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.71 : 13,588.05 = 5,370.38 : x
  2. Step 2: Convert to fraction form
    9,846.71/13,588.05 = 5,370.38/x
  3. Step 3: Cross multiply
    9,846.71x = 13,588.05 × 5,370.38
  4. Step 4: Simplify right side
    9,846.71x = 72,972,991.96
  5. Step 5: Solve for x
    x = 72,972,991.96/9,846.71
  6. Step 6: Final answer
    x = 7,410.90

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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.