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Finding the Fourth Proportional to 6,244.49, 9,368.87 and 2,914.28

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Solution

The fourth proportional to 6,244.49, 9,368.87 and 2,914.28 is: 4,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.49 : 9,368.87 = 2,914.28 : x
  2. Step 2: Convert to fraction form
    6,244.49/9,368.87 = 2,914.28/x
  3. Step 3: Cross multiply
    6,244.49x = 9,368.87 × 2,914.28
  4. Step 4: Simplify right side
    6,244.49x = 27,303,484.18
  5. Step 5: Solve for x
    x = 27,303,484.18/6,244.49
  6. Step 6: Final answer
    x = 4,372.41

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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.