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Finding the Fourth Proportional to 7,218.64, 9,963.80 and 4,234.60

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Solution

The fourth proportional to 7,218.64, 9,963.80 and 4,234.60 is: 5,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.64 : 9,963.80 = 4,234.60 : x
  2. Step 2: Convert to fraction form
    7,218.64/9,963.80 = 4,234.60/x
  3. Step 3: Cross multiply
    7,218.64x = 9,963.80 × 4,234.60
  4. Step 4: Simplify right side
    7,218.64x = 42,192,707.48
  5. Step 5: Solve for x
    x = 42,192,707.48/7,218.64
  6. Step 6: Final answer
    x = 5,844.97

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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.