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Finding the Fourth Proportional to 9,865.37, 14,794.27 and 5,361.50

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Solution

The fourth proportional to 9,865.37, 14,794.27 and 5,361.50 is: 8,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.37 : 14,794.27 = 5,361.50 : x
  2. Step 2: Convert to fraction form
    9,865.37/14,794.27 = 5,361.50/x
  3. Step 3: Cross multiply
    9,865.37x = 14,794.27 × 5,361.50
  4. Step 4: Simplify right side
    9,865.37x = 79,319,478.61
  5. Step 5: Solve for x
    x = 79,319,478.61/9,865.37
  6. Step 6: Final answer
    x = 8,040.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.