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Finding the Fourth Proportional to 9,352.26, 14,028.93 and 3,802.77

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Solution

The fourth proportional to 9,352.26, 14,028.93 and 3,802.77 is: 5,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.26 : 14,028.93 = 3,802.77 : x
  2. Step 2: Convert to fraction form
    9,352.26/14,028.93 = 3,802.77/x
  3. Step 3: Cross multiply
    9,352.26x = 14,028.93 × 3,802.77
  4. Step 4: Simplify right side
    9,352.26x = 53,348,794.14
  5. Step 5: Solve for x
    x = 53,348,794.14/9,352.26
  6. Step 6: Final answer
    x = 5,704.37

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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.