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Finding the Fourth Proportional to 6,853.16, 9,455.28 and 4,199.60

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Solution

The fourth proportional to 6,853.16, 9,455.28 and 4,199.60 is: 5,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.16 : 9,455.28 = 4,199.60 : x
  2. Step 2: Convert to fraction form
    6,853.16/9,455.28 = 4,199.60/x
  3. Step 3: Cross multiply
    6,853.16x = 9,455.28 × 4,199.60
  4. Step 4: Simplify right side
    6,853.16x = 39,708,393.89
  5. Step 5: Solve for x
    x = 39,708,393.89/6,853.16
  6. Step 6: Final answer
    x = 5,794.17

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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.