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Finding the Fourth Proportional to 9,585.97, 14,379.56 and 3,012.41

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Solution

The fourth proportional to 9,585.97, 14,379.56 and 3,012.41 is: 4,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.97 : 14,379.56 = 3,012.41 : x
  2. Step 2: Convert to fraction form
    9,585.97/14,379.56 = 3,012.41/x
  3. Step 3: Cross multiply
    9,585.97x = 14,379.56 × 3,012.41
  4. Step 4: Simplify right side
    9,585.97x = 43,317,130.34
  5. Step 5: Solve for x
    x = 43,317,130.34/9,585.97
  6. Step 6: Final answer
    x = 4,518.81

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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.