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Finding the Fourth Proportional to 9,355.26, 14,020.74 and 3,802.14

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Solution

The fourth proportional to 9,355.26, 14,020.74 and 3,802.14 is: 5,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.26 : 14,020.74 = 3,802.14 : x
  2. Step 2: Convert to fraction form
    9,355.26/14,020.74 = 3,802.14/x
  3. Step 3: Cross multiply
    9,355.26x = 14,020.74 × 3,802.14
  4. Step 4: Simplify right side
    9,355.26x = 53,308,851.44
  5. Step 5: Solve for x
    x = 53,308,851.44/9,355.26
  6. Step 6: Final answer
    x = 5,698.28

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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.