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Finding the Fourth Proportional to 9,846.81, 13,588.58 and 5,370.57

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Solution

The fourth proportional to 9,846.81, 13,588.58 and 5,370.57 is: 7,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.81 : 13,588.58 = 5,370.57 : x
  2. Step 2: Convert to fraction form
    9,846.81/13,588.58 = 5,370.57/x
  3. Step 3: Cross multiply
    9,846.81x = 13,588.58 × 5,370.57
  4. Step 4: Simplify right side
    9,846.81x = 72,978,433.52
  5. Step 5: Solve for x
    x = 72,978,433.52/9,846.81
  6. Step 6: Final answer
    x = 7,411.38

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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.