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Finding the Fourth Proportional to 9,352.96, 14,029.42 and 3,805.06

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Solution

The fourth proportional to 9,352.96, 14,029.42 and 3,805.06 is: 5,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.96 : 14,029.42 = 3,805.06 : x
  2. Step 2: Convert to fraction form
    9,352.96/14,029.42 = 3,805.06/x
  3. Step 3: Cross multiply
    9,352.96x = 14,029.42 × 3,805.06
  4. Step 4: Simplify right side
    9,352.96x = 53,382,784.87
  5. Step 5: Solve for x
    x = 53,382,784.87/9,352.96
  6. Step 6: Final answer
    x = 5,707.58

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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.