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Finding the Fourth Proportional to 6,596.40, 9,885.89 and 3,086.13

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Solution

The fourth proportional to 6,596.40, 9,885.89 and 3,086.13 is: 4,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.40 : 9,885.89 = 3,086.13 : x
  2. Step 2: Convert to fraction form
    6,596.40/9,885.89 = 3,086.13/x
  3. Step 3: Cross multiply
    6,596.40x = 9,885.89 × 3,086.13
  4. Step 4: Simplify right side
    6,596.40x = 30,509,126.28
  5. Step 5: Solve for x
    x = 30,509,126.28/6,596.40
  6. Step 6: Final answer
    x = 4,625.12

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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.