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Finding the Fourth Proportional to 6,566.40, 9,838.46 and 3,963.88

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Solution

The fourth proportional to 6,566.40, 9,838.46 and 3,963.88 is: 5,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.40 : 9,838.46 = 3,963.88 : x
  2. Step 2: Convert to fraction form
    6,566.40/9,838.46 = 3,963.88/x
  3. Step 3: Cross multiply
    6,566.40x = 9,838.46 × 3,963.88
  4. Step 4: Simplify right side
    6,566.40x = 38,998,474.82
  5. Step 5: Solve for x
    x = 38,998,474.82/6,566.40
  6. Step 6: Final answer
    x = 5,939.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.