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Finding the Fourth Proportional to 6,584.42, 9,086.34 and 3,600.32

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Solution

The fourth proportional to 6,584.42, 9,086.34 and 3,600.32 is: 4,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.42 : 9,086.34 = 3,600.32 : x
  2. Step 2: Convert to fraction form
    6,584.42/9,086.34 = 3,600.32/x
  3. Step 3: Cross multiply
    6,584.42x = 9,086.34 × 3,600.32
  4. Step 4: Simplify right side
    6,584.42x = 32,713,731.63
  5. Step 5: Solve for x
    x = 32,713,731.63/6,584.42
  6. Step 6: Final answer
    x = 4,968.35

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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.