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Finding the Fourth Proportional to 6,566.16, 9,838.09 and 3,963.63

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Solution

The fourth proportional to 6,566.16, 9,838.09 and 3,963.63 is: 5,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.16 : 9,838.09 = 3,963.63 : x
  2. Step 2: Convert to fraction form
    6,566.16/9,838.09 = 3,963.63/x
  3. Step 3: Cross multiply
    6,566.16x = 9,838.09 × 3,963.63
  4. Step 4: Simplify right side
    6,566.16x = 38,994,548.67
  5. Step 5: Solve for x
    x = 38,994,548.67/6,566.16
  6. Step 6: Final answer
    x = 5,938.71

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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.