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Finding the Fourth Proportional to 9,356.41, 14,036.90 and 3,116.41

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Solution

The fourth proportional to 9,356.41, 14,036.90 and 3,116.41 is: 4,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.41 : 14,036.90 = 3,116.41 : x
  2. Step 2: Convert to fraction form
    9,356.41/14,036.90 = 3,116.41/x
  3. Step 3: Cross multiply
    9,356.41x = 14,036.90 × 3,116.41
  4. Step 4: Simplify right side
    9,356.41x = 43,744,735.53
  5. Step 5: Solve for x
    x = 43,744,735.53/9,356.41
  6. Step 6: Final answer
    x = 4,675.38

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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.