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Finding the Fourth Proportional to 8,690.96, 13,036.37 and 3,142.23

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Solution

The fourth proportional to 8,690.96, 13,036.37 and 3,142.23 is: 4,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.96 : 13,036.37 = 3,142.23 : x
  2. Step 2: Convert to fraction form
    8,690.96/13,036.37 = 3,142.23/x
  3. Step 3: Cross multiply
    8,690.96x = 13,036.37 × 3,142.23
  4. Step 4: Simplify right side
    8,690.96x = 40,963,257.19
  5. Step 5: Solve for x
    x = 40,963,257.19/8,690.96
  6. Step 6: Final answer
    x = 4,713.32

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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.