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Finding the Fourth Proportional to 9,397.87, 14,084.43 and 3,844.87

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Solution

The fourth proportional to 9,397.87, 14,084.43 and 3,844.87 is: 5,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.87 : 14,084.43 = 3,844.87 : x
  2. Step 2: Convert to fraction form
    9,397.87/14,084.43 = 3,844.87/x
  3. Step 3: Cross multiply
    9,397.87x = 14,084.43 × 3,844.87
  4. Step 4: Simplify right side
    9,397.87x = 54,152,774.37
  5. Step 5: Solve for x
    x = 54,152,774.37/9,397.87
  6. Step 6: Final answer
    x = 5,762.24

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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.