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Finding the Fourth Proportional to 6,843.36, 9,443.32 and 4,010.40

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Solution

The fourth proportional to 6,843.36, 9,443.32 and 4,010.40 is: 5,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.36 : 9,443.32 = 4,010.40 : x
  2. Step 2: Convert to fraction form
    6,843.36/9,443.32 = 4,010.40/x
  3. Step 3: Cross multiply
    6,843.36x = 9,443.32 × 4,010.40
  4. Step 4: Simplify right side
    6,843.36x = 37,871,490.53
  5. Step 5: Solve for x
    x = 37,871,490.53/6,843.36
  6. Step 6: Final answer
    x = 5,534.05

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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.