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Finding the Fourth Proportional to 6,564.16, 9,835.09 and 3,961.63

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Solution

The fourth proportional to 6,564.16, 9,835.09 and 3,961.63 is: 5,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.16 : 9,835.09 = 3,961.63 : x
  2. Step 2: Convert to fraction form
    6,564.16/9,835.09 = 3,961.63/x
  3. Step 3: Cross multiply
    6,564.16x = 9,835.09 × 3,961.63
  4. Step 4: Simplify right side
    6,564.16x = 38,962,987.60
  5. Step 5: Solve for x
    x = 38,962,987.60/6,564.16
  6. Step 6: Final answer
    x = 5,935.72

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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.