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Finding the Fourth Proportional to 6,496.36, 8,967.28 and 3,843.76

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Solution

The fourth proportional to 6,496.36, 8,967.28 and 3,843.76 is: 5,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.36 : 8,967.28 = 3,843.76 : x
  2. Step 2: Convert to fraction form
    6,496.36/8,967.28 = 3,843.76/x
  3. Step 3: Cross multiply
    6,496.36x = 8,967.28 × 3,843.76
  4. Step 4: Simplify right side
    6,496.36x = 34,468,088.19
  5. Step 5: Solve for x
    x = 34,468,088.19/6,496.36
  6. Step 6: Final answer
    x = 5,305.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.