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Finding the Fourth Proportional to 9,589.93, 14,386.25 and 3,016.62

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Solution

The fourth proportional to 9,589.93, 14,386.25 and 3,016.62 is: 4,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.93 : 14,386.25 = 3,016.62 : x
  2. Step 2: Convert to fraction form
    9,589.93/14,386.25 = 3,016.62/x
  3. Step 3: Cross multiply
    9,589.93x = 14,386.25 × 3,016.62
  4. Step 4: Simplify right side
    9,589.93x = 43,397,857.02
  5. Step 5: Solve for x
    x = 43,397,857.02/9,589.93
  6. Step 6: Final answer
    x = 4,525.36

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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.